25310508212025 has 45 divisors (see below), whose sum is σ = 46884229881951. Its totient is φ = 13498816970160.

The previous prime is 25310508211997. The next prime is 25310508212039. The reversal of 25310508212025 is 52021280501352.

The square root of 25310508212025 is 5030955.

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

25310508212025 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 0 + 508 + 2 + 120 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9111782956329 + 16198725255696 = 3018573^2 + 4024764^2 .

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

It is not a de Polignac number, because 25310508212025 - 2¹⁷ = 25310508080953 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 226337076 + ... + 226448874.

Almost surely, 2^{25310508212025} is an apocalyptic number.

25310508212025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25310508212025 is the 5030955-th square number.

25310508212025 is the 2515478-th centered octagonal number.

It is an amenable number.

25310508212025 is a deficient number, since it is larger than the sum of its proper divisors (21573721669926).

25310508212025 is an frugal number, since it uses more digits than its factorization.

25310508212025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223620 (or 111807 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Multiplying 25310508212025 by its sum of digits (36), we get a square (911178295632900 = 30185730²).

Adding to 25310508212025 its reverse (52021280501352), we get a palindrome (77331788713377).

The spelling of 25310508212025 in words is "twenty-five trillion, three hundred ten billion, five hundred eight million, two hundred twelve thousand, twenty-five".