57536045 has 24 divisors (see below), whose sum is σ = 81441144. Its totient is φ = 38900736.

The previous prime is 57535981. The next prime is 57536053. The reversal of 57536045 is 54063575.

It can be written as a sum of positive squares in 4 ways, for example, as 17757796 + 39778249 = 4214^2 + 6307^2 .

It is not a de Polignac number, because 57536045 - 2⁶ = 57535981 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57535996 and 57536014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16277 + ... + 19493.

It is an arithmetic number, because the mean of its divisors is an integer number (3393381).

Almost surely, 2^57536045 is an apocalyptic number.

It is an amenable number.

57536045 is a deficient number, since it is larger than the sum of its proper divisors (23905099).

57536045 is a wasteful number, since it uses less digits than its factorization.

57536045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 35.

The square root of 57536045 is about 7585.2518086086. The cubic root of 57536045 is about 386.0527660154.

The spelling of 57536045 in words is "fifty-seven million, five hundred thirty-six thousand, forty-five".