465605202506564 has 6 divisors (see below), whose sum is σ = 814809104386494. Its totient is φ = 232802601253280.

The previous prime is 465605202506557. The next prime is 465605202506569.

465605202506564 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 370062553740100 + 95542648766464 = 19237010^2 + 9774592^2 .

It is not an unprimeable number, because it can be changed into a prime (465605202506569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58200650313317 + ... + 58200650313324.

It is an arithmetic number, because the mean of its divisors is an integer number (135801517397749).

Almost surely, 2^{465605202506564} is an apocalyptic number.

It is an amenable number.

465605202506564 is a deficient number, since it is larger than the sum of its proper divisors (349203901879930).

465605202506564 is a wasteful number, since it uses less digits than its factorization.

465605202506564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116401300626645 (or 116401300626643 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 56.

The spelling of 465605202506564 in words is "four hundred sixty-five trillion, six hundred five billion, two hundred two million, five hundred six thousand, five hundred sixty-four".