2564413365 has 32 divisors (see below), whose sum is σ = 4354684416. Its totient is φ = 1284193280.

The previous prime is 2564413361. The next prime is 2564413367. The reversal of 2564413365 is 5633144652.

It is not a de Polignac number, because 2564413365 - 2² = 2564413361 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564413361) 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 in 31 ways as a sum of consecutive naturals, for example, 98239 + ... + 121571.

It is an arithmetic number, because the mean of its divisors is an integer number (136083888).

Almost surely, 2^2564413365 is an apocalyptic number.

It is an amenable number.

2564413365 is a deficient number, since it is larger than the sum of its proper divisors (1790271051).

2564413365 is a wasteful number, since it uses less digits than its factorization.

2564413365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23789.

The product of its digits is 259200, while the sum is 39.

The square root of 2564413365 is about 50640.0371741570. The cubic root of 2564413365 is about 1368.7664256072.

The spelling of 2564413365 in words is "two billion, five hundred sixty-four million, four hundred thirteen thousand, three hundred sixty-five".