312135150018409 has 9 divisors (see below), whose sum is σ = 318918473395671. Its totient is φ = 305493163915800.

The previous prime is 312135150018319. The next prime is 312135150018463. The reversal of 312135150018409 is 904810051531213.

The square root of 312135150018409 is 17667347.

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., 69558885998809 + 242576264019600 = 8340197^2 + 15574860^2 .

It is not a de Polignac number, because 312135150018409 - 2²¹ = 312135147921257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312135150018709) 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, 830177359 + ... + 830553259.

Almost surely, 2^{312135150018409} is an apocalyptic number.

312135150018409 is the 17667347-th square number.

312135150018409 is the 8833674-th centered octagonal number.

It is an amenable number.

312135150018409 is a deficient number, since it is larger than the sum of its proper divisors (6783323377262).

312135150018409 is an frugal number, since it uses more digits than its factorization.

312135150018409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751896 (or 375948 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The spelling of 312135150018409 in words is "three hundred twelve trillion, one hundred thirty-five billion, one hundred fifty million, eighteen thousand, four hundred nine".