2564915925 has 192 divisors, whose sum is σ = 5389655040. Its totient is φ = 1057536000.

The previous prime is 2564915917. The next prime is 2564915993. The reversal of 2564915925 is 5295194652.

It is not a de Polignac number, because 2564915925 - 2³ = 2564915917 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8354622 + ... + 8354928.

It is an arithmetic number, because the mean of its divisors is an integer number (28071120).

Almost surely, 2^2564915925 is an apocalyptic number.

2564915925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2564915925 is an abundant number, since it is smaller than the sum of its proper divisors (2824739115).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2564915925 is a wasteful number, since it uses less digits than its factorization.

2564915925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

The product of its digits is 972000, while the sum is 48.

The square root of 2564915925 is about 50644.9990127357. Note that the first 3 decimals coincide. The cubic root of 2564915925 is about 1368.8558342718.

The spelling of 2564915925 in words is "two billion, five hundred sixty-four million, nine hundred fifteen thousand, nine hundred twenty-five".