311347260225 has 27 divisors (see below), whose sum is σ = 557672528803. Its totient is φ = 166047408240.

The previous prime is 311347260197. The next prime is 311347260239. The reversal of 311347260225 is 522062743113.

The square root of 311347260225 is 557985.

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

311347260225 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 47 + 2 + 602 + 2 + 5 = 666.

311347260225 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 112085013681 + 199262246544 = 334791^2 + 446388^2 .

It is a de Polignac number, because none of the positive numbers 2^k-311347260225 is a prime.

It is a super-2 number, since 2×311347260225² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 311347260225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8351176 + ... + 8388374.

Almost surely, 2^311347260225 is an apocalyptic number.

311347260225 is the 557985-th square number.

311347260225 is the 278993-rd centered octagonal number.

It is an amenable number.

311347260225 is a deficient number, since it is larger than the sum of its proper divisors (246325268578).

311347260225 is an frugal number, since it uses more digits than its factorization.

311347260225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74414 (or 37207 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 311347260225 by its sum of digits (36), we get a square (11208501368100 = 3347910²).

The spelling of 311347260225 in words is "three hundred eleven billion, three hundred forty-seven million, two hundred sixty thousand, two hundred twenty-five".