657728523 has 12 divisors (see below), whose sum is σ = 952119168. Its totient is φ = 437531760.

The previous prime is 657728509. The next prime is 657728531. The reversal of 657728523 is 325827756.

657728523 is a `hidden beast` number, since 6 + 57 + 72 + 8 + 523 = 666.

It is not a de Polignac number, because 657728523 - 2¹⁸ = 657466379 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (657728503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75115 + ... + 83412.

It is an arithmetic number, because the mean of its divisors is an integer number (79343264).

Almost surely, 2^657728523 is an apocalyptic number.

657728523 is a deficient number, since it is larger than the sum of its proper divisors (294390645).

657728523 is a wasteful number, since it uses less digits than its factorization.

657728523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158994 (or 158991 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 657728523 is about 25646.2184931814. The cubic root of 657728523 is about 869.6587920800.

The spelling of 657728523 in words is "six hundred fifty-seven million, seven hundred twenty-eight thousand, five hundred twenty-three".