2564612365001 has 2 divisors, whose sum is σ = 2564612365002. Its totient is φ = 2564612365000.

The previous prime is 2564612364953. The next prime is 2564612365019. The reversal of 2564612365001 is 1005632164652.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2156066406025 + 408545958976 = 1468355^2 + 639176^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564612365001 - 2³⁸ = 2289734458057 is a prime.

It is a super-3 number, since 3×2564612365001³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2564612365001.

It is not a weakly prime, because it can be changed into another prime (2564612365201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282306182500 + 1282306182501.

It is an arithmetic number, because the mean of its divisors is an integer number (1282306182501).

Almost surely, 2^{2564612365001} is an apocalyptic number.

It is an amenable number.

2564612365001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564612365001 is an equidigital number, since it uses as much as digits as its factorization.

2564612365001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 2564612365001 in words is "two trillion, five hundred sixty-four billion, six hundred twelve million, three hundred sixty-five thousand, one".