1657957538689 has 9 divisors (see below), whose sum is σ = 1673449366953. Its totient is φ = 1642607856432.

The previous prime is 1657957538681. The next prime is 1657957538693. The reversal of 1657957538689 is 9868357597561.

The square root of 1657957538689 is 1287617.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14454050625 + 1643503488064 = 120225^2 + 1281992^2 .

It is not a de Polignac number, because 1657957538689 - 2³ = 1657957538681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1657957538681) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 140344347 + ... + 140356159.

Almost surely, 2^{1657957538689} is an apocalyptic number.

1657957538689 is the 1287617-th square number.

1657957538689 is the 643809-th centered octagonal number.

It is an amenable number.

1657957538689 is a deficient number, since it is larger than the sum of its proper divisors (15491828264).

1657957538689 is an frugal number, since it uses more digits than its factorization.

1657957538689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23844 (or 11922 counting only the distinct ones).

The product of its digits is 3429216000, while the sum is 79.

The spelling of 1657957538689 in words is "one trillion, six hundred fifty-seven billion, nine hundred fifty-seven million, five hundred thirty-eight thousand, six hundred eighty-nine".