25811937497025 has 45 divisors (see below), whose sum is σ = 47813054384953. Its totient is φ = 13766244732000.

The previous prime is 25811937496927. The next prime is 25811937497033. The reversal of 25811937497025 is 52079473911852.

It is a happy number.

The square root of 25811937497025 is 5080545.

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

25811937497025 is a `hidden beast` number, since 2 + 5 + 8 + 119 + 3 + 7 + 497 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5686808398209 + 20125129098816 = 2384703^2 + 4486104^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 25811937497025 - 2¹⁷ = 25811937365953 is a prime.

It is a super-2 number, since 2×25811937497025² (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 44 ways as a sum of consecutive naturals, for example, 228568075 + ... + 228680975.

Almost surely, 2^{25811937497025} is an apocalyptic number.

25811937497025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25811937497025 is the 5080545-th square number.

25811937497025 is the 2540273-rd centered octagonal number.

It is an amenable number.

25811937497025 is a deficient number, since it is larger than the sum of its proper divisors (22001116887928).

25811937497025 is an frugal number, since it uses more digits than its factorization.

25811937497025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225824 (or 112909 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 25811937497025 in words is "twenty-five trillion, eight hundred eleven billion, nine hundred thirty-seven million, four hundred ninety-seven thousand, twenty-five".