56735577 has 24 divisors (see below), whose sum is σ = 86667360. Its totient is φ = 35665920.

The previous prime is 56735537. The next prime is 56735621. The reversal of 56735577 is 77553765.

56735577 is a `hidden beast` number, since 5 + 6 + 73 + 5 + 577 = 666.

It is not a de Polignac number, because 56735577 - 2⁷ = 56735449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56735507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43302 + ... + 44592.

It is an arithmetic number, because the mean of its divisors is an integer number (3611140).

Almost surely, 2^56735577 is an apocalyptic number.

56735577 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

56735577 is a deficient number, since it is larger than the sum of its proper divisors (29931783).

56735577 is a wasteful number, since it uses less digits than its factorization.

56735577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1570 counting only the distinct ones).

The product of its digits is 771750, while the sum is 45.

The square root of 56735577 is about 7532.3022376960. The cubic root of 56735577 is about 384.2540839573.

The spelling of 56735577 in words is "fifty-six million, seven hundred thirty-five thousand, five hundred seventy-seven".