2565313025 has 24 divisors (see below), whose sum is σ = 3652816800. Its totient is φ = 1767484800.

The previous prime is 2565313019. The next prime is 2565313033. The reversal of 2565313025 is 5203135652.

It is not a de Polignac number, because 2565313025 - 2²⁴ = 2548535809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2565312982 and 2565313000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240260 + ... + 250709.

It is an arithmetic number, because the mean of its divisors is an integer number (152200700).

Almost surely, 2^2565313025 is an apocalyptic number.

2565313025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2565313025 is a deficient number, since it is larger than the sum of its proper divisors (1087503775).

2565313025 is a wasteful number, since it uses less digits than its factorization.

2565313025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491009 (or 491004 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 2565313025 is about 50648.9192875820. The cubic root of 2565313025 is about 1368.9264726629.

Adding to 2565313025 its reverse (5203135652), we get a palindrome (7768448677).

It can be divided in two parts, 256 and 5313025, that multiplied together give a square (1360134400 = 36880²).

The spelling of 2565313025 in words is "two billion, five hundred sixty-five million, three hundred thirteen thousand, twenty-five".