2564653411332 has 36 divisors (see below), whose sum is σ = 6490887415740. Its totient is φ = 853827743232.

The previous prime is 2564653411301. The next prime is 2564653411339. The reversal of 2564653411332 is 2331143564652.

2564653411332 is a `hidden beast` number, since 2 + 56 + 465 + 3 + 4 + 1 + 133 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1857480055236 + 707173356096 = 1362894^2 + 840936^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2564653411339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44000773 + ... + 44059020.

It is an arithmetic number, because the mean of its divisors is an integer number (180302428215).

Almost surely, 2^{2564653411332} is an apocalyptic number.

It is an amenable number.

2564653411332 is an abundant number, since it is smaller than the sum of its proper divisors (3926234004408).

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

2564653411332 is a wasteful number, since it uses less digits than its factorization.

2564653411332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88060612 (or 88060607 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

Adding to 2564653411332 its reverse (2331143564652), we get a palindrome (4895796975984).

It can be divided in two parts, 25646534 and 11332, that added together give a triangular number (25657866 = T₇₁₆₃).

The spelling of 2564653411332 in words is "two trillion, five hundred sixty-four billion, six hundred fifty-three million, four hundred eleven thousand, three hundred thirty-two".