2564113032 has 48 divisors (see below), whose sum is σ = 7478665740. Its totient is φ = 788957568.

The previous prime is 2564113007. The next prime is 2564113049. The reversal of 2564113032 is 2303114652.

2564113032 is a `hidden beast` number, since 2 + 5 + 641 + 13 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2498600196 + 65512836 = 49986^2 + 8094^2 .

It is a super-3 number, since 3×2564113032³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2564112987 and 2564113005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1368783 + ... + 1370654.

Almost surely, 2^2564113032 is an apocalyptic number.

It is an amenable number.

2564113032 is an abundant number, since it is smaller than the sum of its proper divisors (4914552708).

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

2564113032 is a wasteful number, since it uses less digits than its factorization.

2564113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739462 (or 2739455 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2564113032 is about 50637.0717162831. The cubic root of 2564113032 is about 1368.7129888535.

Adding to 2564113032 its reverse (2303114652), we get a palindrome (4867227684).

The spelling of 2564113032 in words is "two billion, five hundred sixty-four million, one hundred thirteen thousand, thirty-two".