958599604561 has 9 divisors (see below), whose sum is σ = 1018322451601. Its totient is φ = 902195727232.

The previous prime is 958599604553. The next prime is 958599604579. The reversal of 958599604561 is 165406995859.

The square root of 958599604561 is 979081.

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 1880870161 + 956718734400 = 43369^2 + 978120^2 .

It is not a de Polignac number, because 958599604561 - 2³ = 958599604553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (958599634561) 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, 16615581 + ... + 16673173.

Almost surely, 2^958599604561 is an apocalyptic number.

958599604561 is the 979081-st square number.

958599604561 is the 489541-st centered octagonal number.

It is an amenable number.

958599604561 is a deficient number, since it is larger than the sum of its proper divisors (59722847040).

958599604561 is an frugal number, since it uses more digits than its factorization.

958599604561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115220 (or 57610 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 67.

The spelling of 958599604561 in words is "nine hundred fifty-eight billion, five hundred ninety-nine million, six hundred four thousand, five hundred sixty-one".