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2502500625 = 3254232292
BaseRepresentation
bin1001010100101001…
…0010000100010001
320110101220012111100
42111022102010101
520111120010000
61052153135013
7116004622122
oct22512220421
96411805440
102502500625
111074661839
1259a0ba469
1330b5c6701
1419a502049
15e9a71a00
hex95292111

2502500625 has 135 divisors (see below), whose sum is σ = 4890324439. Its totient is φ = 1232616000.

The previous prime is 2502500603. The next prime is 2502500633. The reversal of 2502500625 is 5260052052.

The square root of 2502500625 is 50025.

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 1871687169 + 630813456 = 43263^2 + 25116^2 .

It is not a de Polignac number, because 2502500625 - 25 = 2502500593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 86293111 + ... + 86293139.

Almost surely, 22502500625 is an apocalyptic number.

2502500625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2502500625 is the 50025-th square number.

2502500625 is the 25013-rd centered octagonal number.

It is an amenable number.

2502500625 is a deficient number, since it is larger than the sum of its proper divisors (2387823814).

2502500625 is an equidigital number, since it uses as much as digits as its factorization.

2502500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 60 counting only the distinct ones).

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

The cubic root of 2502500625 is about 1357.6611735417.

Adding to 2502500625 its reverse (5260052052), we get a palindrome (7762552677).

The spelling of 2502500625 in words is "two billion, five hundred two million, five hundred thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 29 45 69 75 87 115 125 145 207 225 261 345 375 435 529 575 625 667 725 841 1035 1125 1305 1587 1725 1875 2001 2175 2523 2645 2875 3335 3625 4205 4761 5175 5625 6003 6525 7569 7935 8625 10005 10875 12615 13225 14375 15341 16675 18125 19343 21025 23805 25875 30015 32625 37845 39675 43125 46023 50025 54375 58029 63075 66125 76705 83375 96715 105125 119025 129375 138069 150075 163125 174087 189225 198375 230115 250125 290145 315375 330625 383525 416875 444889 483575 525625 595125 690345 750375 870435 946125 991875 1150575 1250625 1334667 1450725 1576875 1917625 2224445 2417875 2975625 3451725 3751875 4004001 4352175 4730625 5752875 6673335 7253625 9588125 11122225 12089375 17258625 20020005 21760875 28764375 33366675 36268125 55611125 86293125 100100025 108804375 166833375 278055625 500500125 834166875 2502500625