311407525521 has 9 divisors (see below), whose sum is σ = 449813288379. Its totient is φ = 207603900936.

The previous prime is 311407525489. The next prime is 311407525601. The reversal of 311407525521 is 125525704113.

The square root of 311407525521 is 558039.

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

311407525521 is a `hidden beast` number, since 3 + 1 + 1 + 40 + 75 + 25 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42706289025 + 268701236496 = 206655^2 + 518364^2 .

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

It is not a de Polignac number, because 311407525521 - 2⁵ = 311407525489 is a prime.

It is a super-2 number, since 2×311407525521² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (311407525321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1581111 + ... + 1767123.

Almost surely, 2^311407525521 is an apocalyptic number.

311407525521 is the 558039-th square number.

311407525521 is the 279020-th centered octagonal number.

It is an amenable number.

311407525521 is a deficient number, since it is larger than the sum of its proper divisors (138405762858).

311407525521 is an frugal number, since it uses more digits than its factorization.

311407525521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372032 (or 186016 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Multiplying 311407525521 by its sum of digits (36), we get a square (11210670918756 = 3348234²).

The spelling of 311407525521 in words is "three hundred eleven billion, four hundred seven million, five hundred twenty-five thousand, five hundred twenty-one".