311320477521 has 9 divisors (see below), whose sum is σ = 449687552041. Its totient is φ = 207545869092.

The previous prime is 311320477513. The next prime is 311320477537. The reversal of 311320477521 is 125774023113.

The square root of 311320477521 is 557961.

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

311320477521 is a `hidden beast` number, since 3 + 1 + 132 + 0 + 477 + 52 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 311320477521 - 2³ = 311320477513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311320477571) 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, 1580890 + ... + 1766876.

Almost surely, 2^311320477521 is an apocalyptic number.

311320477521 is the 557961-st square number.

311320477521 is the 278981-st centered octagonal number.

It is an amenable number.

311320477521 is a deficient number, since it is larger than the sum of its proper divisors (138367074520).

311320477521 is an frugal number, since it uses more digits than its factorization.

311320477521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371980 (or 185990 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 311320477521 by its sum of digits (36), we get a square (11207537190756 = 3347766²).

The spelling of 311320477521 in words is "three hundred eleven billion, three hundred twenty million, four hundred seventy-seven thousand, five hundred twenty-one".