2564309137 has 16 divisors (see below), whose sum is σ = 2866106880. Its totient is φ = 2277979200.

The previous prime is 2564309131. The next prime is 2564309159. The reversal of 2564309137 is 7319034652.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2564309137 - 2¹⁹ = 2563784849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2564309137.

It is not an unprimeable number, because it can be changed into a prime (2564309131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106312 + ... + 128182.

It is an arithmetic number, because the mean of its divisors is an integer number (179131680).

Almost surely, 2^2564309137 is an apocalyptic number.

It is an amenable number.

2564309137 is a deficient number, since it is larger than the sum of its proper divisors (301797743).

2564309137 is a wasteful number, since it uses less digits than its factorization.

2564309137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22224.

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 2564309137 is about 50639.0080570305. The cubic root of 2564309137 is about 1368.7478813114.

The spelling of 2564309137 in words is "two billion, five hundred sixty-four million, three hundred nine thousand, one hundred thirty-seven".