5759160030625 has 45 divisors (see below), whose sum is σ = 7325193107397. Its totient is φ = 4526453922000.

The previous prime is 5759160030619. The next prime is 5759160030653. The reversal of 5759160030625 is 5260300619575.

It is a happy number.

The square root of 5759160030625 is 2399825.

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

It can be written as a sum of positive squares in 2 ways, for example, as 451518146401 + 5307641884224 = 671951^2 + 2303832^2 .

It is not a de Polignac number, because 5759160030625 - 2¹⁷ = 5759159899553 is a prime.

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 44 ways as a sum of consecutive naturals, for example, 3539741062 + ... + 3539742688.

Almost surely, 2^{5759160030625} is an apocalyptic number.

5759160030625 is the 2399825-th square number.

5759160030625 is the 1199913-rd centered octagonal number.

It is an amenable number.

5759160030625 is a deficient number, since it is larger than the sum of its proper divisors (1566033076772).

5759160030625 is an frugal number, since it uses more digits than its factorization.

5759160030625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 49.

Multiplying 5759160030625 by its sum of digits (49), we get a square (282198841500625 = 16798775²).

The spelling of 5759160030625 in words is "five trillion, seven hundred fifty-nine billion, one hundred sixty million, thirty thousand, six hundred twenty-five".