1590335377225 has 81 divisors (see below), whose sum is σ = 2319664114677. Its totient is φ = 1078439537280.

The previous prime is 1590335377181. The next prime is 1590335377237. The reversal of 1590335377225 is 5227735330951.

The square root of 1590335377225 is 1261085.

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 4639925689 + 1585695451536 = 68117^2 + 1259244^2 .

It is not a de Polignac number, because 1590335377225 - 2²⁵ = 1590301822793 is a prime.

It is a super-2 number, since 2×1590335377225² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6046902444 + ... + 6046902706.

Almost surely, 2^{1590335377225} is an apocalyptic number.

1590335377225 is the 1261085-th square number.

1590335377225 is the 630543-rd centered octagonal number.

It is an amenable number.

1590335377225 is a deficient number, since it is larger than the sum of its proper divisors (729328737452).

1590335377225 is an frugal number, since it uses more digits than its factorization.

1590335377225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 52.

The spelling of 1590335377225 in words is "one trillion, five hundred ninety billion, three hundred thirty-five million, three hundred seventy-seven thousand, two hundred twenty-five".