2564624516831 has 12 divisors (see below), whose sum is σ = 2829476338488. Its totient is φ = 2322678799584.

The previous prime is 2564624516819. The next prime is 2564624516869. The reversal of 2564624516831 is 1386154264652.

It is not a de Polignac number, because 2564624516831 - 2²⁶ = 2564557407967 is a prime.

It is a super-2 number, since 2×2564624516831² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564624516801) 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, 143154185 + ... + 143172098.

It is an arithmetic number, because the mean of its divisors is an integer number (235789694874).

Almost surely, 2^{2564624516831} is an apocalyptic number.

2564624516831 is a deficient number, since it is larger than the sum of its proper divisors (264851821657).

2564624516831 is a wasteful number, since it uses less digits than its factorization.

2564624516831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286326362 (or 286326349 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 53.

The spelling of 2564624516831 in words is "two trillion, five hundred sixty-four billion, six hundred twenty-four million, five hundred sixteen thousand, eight hundred thirty-one".