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250025000625 = 32545921132
BaseRepresentation
bin1110100011011010100…
…1101011111010110001
3212220100200011000112100
43220312221223322301
513044022400010000
6310505423251013
724030565303611
oct3506651537261
9786320130470
10250025000625
119704265a624
1240558a49a69
131a76730346a
14c15bc7ca41
156785106a00
hex3a36a6beb1

250025000625 has 135 divisors (see below), whose sum is σ = 463166691559. Its totient is φ = 129926496000.

The previous prime is 250025000593. The next prime is 250025000651. The reversal of 250025000625 is 526000520052.

The square root of 250025000625 is 500025.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 244392798321 + 5632202304 = 494361^2 + 75048^2 .

It is not a de Polignac number, because 250025000625 - 25 = 250025000593 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2212610569 + ... + 2212610681.

Almost surely, 2250025000625 is an apocalyptic number.

250025000625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

250025000625 is the 500025-th square number.

250025000625 is the 250013-rd centered octagonal number.

It is an amenable number.

250025000625 is a deficient number, since it is larger than the sum of its proper divisors (213141690934).

250025000625 is an frugal number, since it uses more digits than its factorization.

250025000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 250025000625 its reverse (526000520052), we get a palindrome (776025520677).

The spelling of 250025000625 in words is "two hundred fifty billion, twenty-five million, six hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 25 45 59 75 113 125 177 225 295 339 375 531 565 625 885 1017 1125 1475 1695 1875 2655 2825 3481 4425 5085 5625 6667 7375 8475 10443 12769 13275 14125 17405 20001 22125 25425 31329 33335 36875 38307 42375 52215 60003 63845 66375 70625 87025 100005 110625 114921 127125 156645 166675 191535 211875 261075 300015 319225 331875 393353 435125 500025 574605 635625 753371 783225 833375 957675 1180059 1305375 1500075 1596125 1966765 2175625 2260113 2500125 2873025 3540177 3766855 3916125 4166875 4788375 5900295 6526875 6780339 7500375 7980625 9833825 11300565 12500625 14365125 17700885 18834275 19580625 23941875 29501475 33901695 37501875 44448889 49169125 56502825 71825625 88504425 94171375 133346667 147507375 169508475 222244445 245845625 282514125 400040001 442522125 470856875 666733335 737536875 847542375 1111222225 1412570625 2000200005 2212610625 3333666675 4237711875 5556111125 10001000025 16668333375 27780555625 50005000125 83341666875 250025000625