2565130032 has 200 divisors, whose sum is σ = 7668964512. Its totient is φ = 827366400.

The previous prime is 2565130021. The next prime is 2565130067. The reversal of 2565130032 is 2300315652.

2565130032 is a `hidden beast` number, since 2 + 5 + 651 + 3 + 0 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2565129978 and 2565130005.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5612748 + ... + 5613204.

Almost surely, 2^2565130032 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 2565130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834482256).

2565130032 is an abundant number, since it is smaller than the sum of its proper divisors (5103834480).

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

2565130032 is a wasteful number, since it uses less digits than its factorization.

2565130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2565130032 is about 50647.1127706210. The cubic root of 2565130032 is about 1368.8939217401.

Adding to 2565130032 its reverse (2300315652), we get a palindrome (4865445684).

The spelling of 2565130032 in words is "two billion, five hundred sixty-five million, one hundred thirty thousand, thirty-two".