958580023041 has 27 divisors (see below), whose sum is σ = 1405878561633. Its totient is φ = 629386001640.

The previous prime is 958580023013. The next prime is 958580023057. The reversal of 958580023041 is 140320085859.

The square root of 958580023041 is 979071.

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

958580023041 is a `hidden beast` number, since 9 + 5 + 8 + 580 + 0 + 23 + 0 + 41 = 666.

It is not a de Polignac number, because 958580023041 - 2⁹ = 958580022529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (958580023081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 196790836 + ... + 196795706.

Almost surely, 2^958580023041 is an apocalyptic number.

958580023041 is the 979071-st square number.

958580023041 is the 489536-th centered octagonal number.

It is an amenable number.

958580023041 is a deficient number, since it is larger than the sum of its proper divisors (447298538592).

958580023041 is an frugal number, since it uses more digits than its factorization.

958580023041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9882 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 958580023041 in words is "nine hundred fifty-eight billion, five hundred eighty million, twenty-three thousand, forty-one".