312052225 has 9 divisors (see below), whose sum is σ = 387054313. Its totient is φ = 249571120.

The previous prime is 312052211. The next prime is 312052241. The reversal of 312052225 is 522250213.

The square root of 312052225 is 17665.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12623809 + 299428416 = 3553^2 + 17304^2 .

It is not a de Polignac number, because 312052225 - 2²³ = 303663617 is a prime.

It is a super-2 number, since 2×312052225² = 194753182254901250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312052196 and 312052205.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 86559 + ... + 90091.

Almost surely, 2^312052225 is an apocalyptic number.

312052225 is the 17665-th square number.

312052225 is the 8833-rd centered octagonal number.

It is an amenable number.

312052225 is a deficient number, since it is larger than the sum of its proper divisors (75002088).

312052225 is an frugal number, since it uses more digits than its factorization.

312052225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7076 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The cubic root of 312052225 is about 678.2801296577.

The spelling of 312052225 in words is "three hundred twelve million, fifty-two thousand, two hundred twenty-five".