2564136521 has 8 divisors (see below), whose sum is σ = 2575336800. Its totient is φ = 2552951520.

The previous prime is 2564136517. The next prime is 2564136557. The reversal of 2564136521 is 1256314652.

2564136521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 2564136521 - 2² = 2564136517 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564135521) 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, 440810 + ... + 446588.

It is an arithmetic number, because the mean of its divisors is an integer number (321917100).

Almost surely, 2^2564136521 is an apocalyptic number.

It is an amenable number.

2564136521 is a deficient number, since it is larger than the sum of its proper divisors (11200279).

2564136521 is a wasteful number, since it uses less digits than its factorization.

2564136521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7639.

The product of its digits is 43200, while the sum is 35.

The square root of 2564136521 is about 50637.3036505697. The cubic root of 2564136521 is about 1368.7171682846.

The spelling of 2564136521 in words is "two billion, five hundred sixty-four million, one hundred thirty-six thousand, five hundred twenty-one".