2564514561 has 8 divisors (see below), whose sum is σ = 3907831744. Its totient is φ = 1465436880.

The previous prime is 2564514541. The next prime is 2564514571. The reversal of 2564514561 is 1654154652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2564514561 - 2²⁵ = 2530960129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564514541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61059850 + ... + 61059891.

It is an arithmetic number, because the mean of its divisors is an integer number (488478968).

Almost surely, 2^2564514561 is an apocalyptic number.

2564514561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2564514561 is a deficient number, since it is larger than the sum of its proper divisors (1343317183).

2564514561 is a wasteful number, since it uses less digits than its factorization.

2564514561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122119751.

The product of its digits is 144000, while the sum is 39.

The square root of 2564514561 is about 50641.0363341826. The cubic root of 2564514561 is about 1368.7844299673.

The spelling of 2564514561 in words is "two billion, five hundred sixty-four million, five hundred fourteen thousand, five hundred sixty-one".