2564526132 has 108 divisors (see below), whose sum is σ = 7664871396. Its totient is φ = 720679680.

The previous prime is 2564526101. The next prime is 2564526137. The reversal of 2564526132 is 2316254652.

2564526132 is a `hidden beast` number, since 2 + 5 + 645 + 2 + 6 + 1 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1064977956 + 1499548176 = 32634^2 + 38724^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564526137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95688 + ... + 119520.

Almost surely, 2^2564526132 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 2564526132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832435698).

2564526132 is an abundant number, since it is smaller than the sum of its proper divisors (5100345264).

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

2564526132 is a wasteful number, since it uses less digits than its factorization.

2564526132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23918 (or 23906 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 2564526132 is about 50641.1505793460. The cubic root of 2564526132 is about 1368.7864886000.

The spelling of 2564526132 in words is "two billion, five hundred sixty-four million, five hundred twenty-six thousand, one hundred thirty-two".