1057137661584 has 135 divisors (see below), whose sum is σ = 3024462739363. Its totient is φ = 344692606656.

The previous prime is 1057137661579. The next prime is 1057137661651. The reversal of 1057137661584 is 4851667317501.

The square root of 1057137661584 is 1028172.

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

1057137661584 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 13 + 7 + 6 + 615 + 8 + 4 = 666.

It is a super-2 number, since 2×1057137661584² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1057137661584.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 579888097 + ... + 579889919.

Almost surely, 2^{1057137661584} is an apocalyptic number.

1057137661584 is the 1028172-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057137661584

1057137661584 is an abundant number, since it is smaller than the sum of its proper divisors (1967325077779).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1057137661584 is an frugal number, since it uses more digits than its factorization.

1057137661584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

It can be divided in two parts, 1057137 and 661584, that added together give a square (1718721 = 1311²).

The spelling of 1057137661584 in words is "one trillion, fifty-seven billion, one hundred thirty-seven million, six hundred sixty-one thousand, five hundred eighty-four".