311724572329 has 9 divisors (see below), whose sum is σ = 312819921687. Its totient is φ = 310633050864.

The previous prime is 311724572311. The next prime is 311724572389. The reversal of 311724572329 is 923275427113.

The square root of 311724572329 is 558323.

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., 304789013929 + 6935558400 = 552077^2 + 83280^2 .

It is not a de Polignac number, because 311724572329 - 2¹⁷ = 311724441257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311724572389) 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, 193737277 + ... + 193738885.

Almost surely, 2^311724572329 is an apocalyptic number.

311724572329 is the 558323-rd square number.

311724572329 is the 279162-nd centered octagonal number.

It is an amenable number.

311724572329 is a deficient number, since it is larger than the sum of its proper divisors (1095349358).

311724572329 is an frugal number, since it uses more digits than its factorization.

311724572329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912 (or 1956 counting only the distinct ones).

The product of its digits is 635040, while the sum is 46.

The spelling of 311724572329 in words is "three hundred eleven billion, seven hundred twenty-four million, five hundred seventy-two thousand, three hundred twenty-nine".