1590199182961 has 9 divisors (see below), whose sum is σ = 1613002624779. Its totient is φ = 1567713739200.

The previous prime is 1590199182931. The next prime is 1590199183031. The reversal of 1590199182961 is 1692819910951.

The square root of 1590199182961 is 1261031.

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., 562246528561 + 1027952654400 = 749831^2 + 1013880^2 .

It is not a de Polignac number, because 1590199182961 - 2³³ = 1581609248369 is a prime.

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 1590199182961.

It is not an unprimeable number, because it can be changed into a prime (1590199182931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 89524321 + ... + 89542081.

Almost surely, 2^{1590199182961} is an apocalyptic number.

1590199182961 is the 1261031-st square number.

1590199182961 is the 630516-th centered octagonal number.

It is an amenable number.

1590199182961 is a deficient number, since it is larger than the sum of its proper divisors (22803441818).

1590199182961 is an frugal number, since it uses more digits than its factorization.

1590199182961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35664 (or 17832 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 61.

The spelling of 1590199182961 in words is "one trillion, five hundred ninety billion, one hundred ninety-nine million, one hundred eighty-two thousand, nine hundred sixty-one".