2564390251 has 2 divisors, whose sum is σ = 2564390252. Its totient is φ = 2564390250.

The previous prime is 2564390189. The next prime is 2564390263. The reversal of 2564390251 is 1520934652.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2564390251 - 2¹⁹ = 2563865963 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2564390251.

It is not a weakly prime, because it can be changed into another prime (2564390291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282195125 + 1282195126.

It is an arithmetic number, because the mean of its divisors is an integer number (1282195126).

Almost surely, 2^2564390251 is an apocalyptic number.

2564390251 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564390251 is an equidigital number, since it uses as much as digits as its factorization.

2564390251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 2564390251 is about 50639.8089550109. The cubic root of 2564390251 is about 1368.7623131966.

The spelling of 2564390251 in words is "two billion, five hundred sixty-four million, three hundred ninety thousand, two hundred fifty-one".