312292086561 has 243 divisors, whose sum is σ = 600732545049. Its totient is φ = 155793141504.

The previous prime is 312292086553. The next prime is 312292086581. The reversal of 312292086561 is 165680292213.

The square root of 312292086561 is 558831.

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

312292086561 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 9 + 2 + 0 + 86 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136526555025 + 175765531536 = 369495^2 + 419244^2 .

It is not a de Polignac number, because 312292086561 - 2³ = 312292086553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312292086511) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3508899805 + ... + 3508899893.

Almost surely, 2^312292086561 is an apocalyptic number.

312292086561 is the 558831-st square number.

312292086561 is the 279416-th centered octagonal number.

It is an amenable number.

312292086561 is a deficient number, since it is larger than the sum of its proper divisors (288440458488).

312292086561 is a wasteful number, since it uses less digits than its factorization.

312292086561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 312292086561 in words is "three hundred twelve billion, two hundred ninety-two million, eighty-six thousand, five hundred sixty-one".