56543634565 has 24 divisors (see below), whose sum is σ = 74858991480. Its totient is φ = 40969653120.

The previous prime is 56543634559. The next prime is 56543634571.

56543634565 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (56543634559) and next prime (56543634571).

It can be written as a sum of positive squares in 4 ways, for example, as 105555076 + 56438079489 = 10274^2 + 237567^2 .

It is not a de Polignac number, because 56543634565 - 2³³ = 47953699973 is a prime.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10974 + ... + 336463.

It is an arithmetic number, because the mean of its divisors is an integer number (3119124645).

Almost surely, 2^56543634565 is an apocalyptic number.

56543634565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56543634565 is a deficient number, since it is larger than the sum of its proper divisors (18315356915).

56543634565 is a wasteful number, since it uses less digits than its factorization.

56543634565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347733 (or 347722 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 52.

The spelling of 56543634565 in words is "fifty-six billion, five hundred forty-three million, six hundred thirty-four thousand, five hundred sixty-five".