2564893521 has 6 divisors (see below), whose sum is σ = 3704846210. Its totient is φ = 1709929008.

The previous prime is 2564893493. The next prime is 2564893567. The reversal of 2564893521 is 1253984652.

2564893521 is a `hidden beast` number, since 2 + 564 + 89 + 3 + 5 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2476157121 + 88736400 = 49761^2 + 9420^2 .

It is not a de Polignac number, because 2564893521 - 2¹⁴ = 2564877137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564893571) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142494076 + ... + 142494093.

Almost surely, 2^2564893521 is an apocalyptic number.

It is an amenable number.

2564893521 is a deficient number, since it is larger than the sum of its proper divisors (1139952689).

2564893521 is a wasteful number, since it uses less digits than its factorization.

2564893521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284988175 (or 284988172 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 2564893521 is about 50644.7778255567. Note that the first 3 decimals coincide. The cubic root of 2564893521 is about 1368.8518487045.

The spelling of 2564893521 in words is "two billion, five hundred sixty-four million, eight hundred ninety-three thousand, five hundred twenty-one".