2564566133401 has 2 divisors, whose sum is σ = 2564566133402. Its totient is φ = 2564566133400.

The previous prime is 2564566133399. The next prime is 2564566133417. The reversal of 2564566133401 is 1043316654652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1516555305225 + 1048010828176 = 1231485^2 + 1023724^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564566133401 - 2¹ = 2564566133399 is a prime.

Together with 2564566133399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2564566137401) 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, 1282283066700 + 1282283066701.

It is an arithmetic number, because the mean of its divisors is an integer number (1282283066701).

Almost surely, 2^{2564566133401} is an apocalyptic number.

It is an amenable number.

2564566133401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564566133401 is an equidigital number, since it uses as much as digits as its factorization.

2564566133401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 2564566133401 in words is "two trillion, five hundred sixty-four billion, five hundred sixty-six million, one hundred thirty-three thousand, four hundred one".