25752732331225 has 27 divisors (see below), whose sum is σ = 32007023975997. Its totient is φ = 20554788026880.

The previous prime is 25752732331213. The next prime is 25752732331241. The reversal of 25752732331225 is 52213323725752.

The square root of 25752732331225 is 5074715.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7271365723209 + 18481366608016 = 2696547^2 + 4298996^2 .

It is a de Polignac number, because none of the positive numbers 2^k-25752732331225 is a prime.

It is a super-2 number, since 2×25752732331225² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14640551896 + ... + 14640553654.

Almost surely, 2^{25752732331225} is an apocalyptic number.

25752732331225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25752732331225 is the 5074715-th square number.

25752732331225 is the 2537358-th centered octagonal number.

It is an amenable number.

25752732331225 is a deficient number, since it is larger than the sum of its proper divisors (6254291644772).

25752732331225 is an frugal number, since it uses more digits than its factorization.

25752732331225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4682 (or 2341 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 49.

The spelling of 25752732331225 in words is "twenty-five trillion, seven hundred fifty-two billion, seven hundred thirty-two million, three hundred thirty-one thousand, two hundred twenty-five".