1057713516304 has 45 divisors (see below), whose sum is σ = 2106507047967. Its totient is φ = 514489283712.

The previous prime is 1057713516289. The next prime is 1057713516361. The reversal of 1057713516304 is 4036153177501.

The square root of 1057713516304 is 1028452.

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 626915568400 + 430797947904 = 791780^2 + 656352^2 .

It is a super-2 number, since 2×1057713516304² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 152207422 + ... + 152214370.

Almost surely, 2^{1057713516304} is an apocalyptic number.

1057713516304 is the 1028452-nd square number.

It is an amenable number.

1057713516304 is a deficient number, since it is larger than the sum of its proper divisors (1048793531663).

1057713516304 is an frugal number, since it uses more digits than its factorization.

1057713516304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13980 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 43.

The spelling of 1057713516304 in words is "one trillion, fifty-seven billion, seven hundred thirteen million, five hundred sixteen thousand, three hundred four".