2565525312 has 420 divisors, whose sum is σ = 9301337760. Its totient is φ = 683043840.

The previous prime is 2565525299. The next prime is 2565525323. The reversal of 2565525312 is 2135255652.

2565525312 is a `hidden beast` number, since 2 + 56 + 552 + 53 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 42057762 + ... + 42057822.

Almost surely, 2^2565525312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650668880).

2565525312 is an abundant number, since it is smaller than the sum of its proper divisors (6735812448).

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

2565525312 is an equidigital number, since it uses as much as digits as its factorization.

2565525312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 92 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 2565525312 is about 50651.0149157941. The cubic root of 2565525312 is about 1368.9642324834.

The spelling of 2565525312 in words is "two billion, five hundred sixty-five million, five hundred twenty-five thousand, three hundred twelve".