1657141264 has 15 divisors (see below), whose sum is σ = 3211026717. Its totient is φ = 828489216.

The previous prime is 1657141261. The next prime is 1657141273. The reversal of 1657141264 is 4621417561.

The square root of 1657141264 is 40708.

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

It can be written as a sum of positive squares in only one way, i.e., 1090320400 + 566820864 = 33020^2 + 23808^2 .

It is a super-2 number, since 2×1657141264² = 5492234337703035392, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1657141261) 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 2 ways as a sum of consecutive naturals, for example, 157744 + ... + 167920.

Almost surely, 2^1657141264 is an apocalyptic number.

1657141264 is the 40708-th square number.

It is an amenable number.

1657141264 is a deficient number, since it is larger than the sum of its proper divisors (1553885453).

1657141264 is an frugal number, since it uses more digits than its factorization.

1657141264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20362 (or 10179 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The cubic root of 1657141264 is about 1183.3680620018.

The spelling of 1657141264 in words is "one billion, six hundred fifty-seven million, one hundred forty-one thousand, two hundred sixty-four".