1657538131 has 8 divisors (see below), whose sum is σ = 1847411280. Its totient is φ = 1477928448.

The previous prime is 1657538111. The next prime is 1657538189. The reversal of 1657538131 is 1318357561.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1657538131 - 2¹⁹ = 1657013843 is a prime.

It is a super-2 number, since 2×1657538131² = 5494865311437946322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1657538111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2565526 + ... + 2566171.

It is an arithmetic number, because the mean of its divisors is an integer number (230926410).

Almost surely, 2^1657538131 is an apocalyptic number.

1657538131 is a deficient number, since it is larger than the sum of its proper divisors (189873149).

1657538131 is a wasteful number, since it uses less digits than its factorization.

1657538131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131733.

The product of its digits is 75600, while the sum is 40.

The square root of 1657538131 is about 40712.8742660107. The cubic root of 1657538131 is about 1183.4625223146.

The spelling of 1657538131 in words is "one billion, six hundred fifty-seven million, five hundred thirty-eight thousand, one hundred thirty-one".