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25130175625 = 541723732
BaseRepresentation
bin10111011001111000…
…000000110010001001
32101212100212012012101
4113121320000302021
5402431311110000
615313350513401
71546514653102
oct273170006211
971770765171
1025130175625
11a726368995
124a54065861
1324a64b3c09
1413057913a9
159c1337e6a
hex5d9e00c89

25130175625 has 45 divisors (see below), whose sum is σ = 33448215801. Its totient is φ = 18870816000.

The previous prime is 25130175619. The next prime is 25130175667. The reversal of 25130175625 is 52657103152.

The square root of 25130175625 is 158525.

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

It can be written as a sum of positive squares in 22 ways, for example, as 25053508089 + 76667536 = 158283^2 + 8756^2 .

It is not a de Polignac number, because 25130175625 - 223 = 25121787017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 67372939 + ... + 67373311.

Almost surely, 225130175625 is an apocalyptic number.

25130175625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25130175625 is the 158525-th square number.

25130175625 is the 79263-rd centered octagonal number.

It is an amenable number.

25130175625 is a deficient number, since it is larger than the sum of its proper divisors (8318040176).

25130175625 is an frugal number, since it uses more digits than its factorization.

25130175625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

Adding to 25130175625 its reverse (52657103152), we get a palindrome (77787278777).

The spelling of 25130175625 in words is "twenty-five billion, one hundred thirty million, one hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 125 289 373 425 625 1445 1865 2125 6341 7225 9325 10625 31705 36125 46625 107797 139129 158525 180625 233125 538985 695645 792625 2365193 2694925 3478225 3963125 11825965 13474625 17391125 40208281 59129825 67373125 86955625 201041405 295649125 1005207025 1478245625 5026035125 25130175625