25400390625 has 99 divisors (see below), whose sum is σ = 48718260721. Its totient is φ = 12750000000.

The previous prime is 25400390611. The next prime is 25400390627. The reversal of 25400390625 is 52609300452.

The square root of 25400390625 is 159375.

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

25400390625 is a `hidden beast` number, since 2 + 540 + 0 + 3 + 90 + 6 + 25 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4111246161 + 21289144464 = 64119^2 + 145908^2 .

It is not a de Polignac number, because 25400390625 - 2⁷ = 25400390497 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25400390625.

It is not an unprimeable number, because it can be changed into a prime (25400390627) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 1494140617 + ... + 1494140633.

Almost surely, 2^25400390625 is an apocalyptic number.

25400390625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25400390625 is the 159375-th square number.

25400390625 is the 79688-th centered octagonal number.

It is an amenable number.

25400390625 is a deficient number, since it is larger than the sum of its proper divisors (23317870096).

25400390625 is an frugal number, since it uses more digits than its factorization.

25400390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 25400390625 by its sum of digits (36), we get a square (914414062500 = 956250²).

It can be divided in two parts, 25400 and 390625, that added together give a square (416025 = 645²).

The spelling of 25400390625 in words is "twenty-five billion, four hundred million, three hundred ninety thousand, six hundred twenty-five".