312156414234517 has 2 divisors, whose sum is σ = 312156414234518. Its totient is φ = 312156414234516.

The previous prime is 312156414234409. The next prime is 312156414234523. The reversal of 312156414234517 is 715432414651213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 251099709207876 + 61056705026641 = 15846126^2 + 7813879^2 .

It is a cyclic number.

It is not a de Polignac number, because 312156414234517 - 2⁴³ = 303360321212309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312156414234817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156078207117258 + 156078207117259.

It is an arithmetic number, because the mean of its divisors is an integer number (156078207117259).

Almost surely, 2^{312156414234517} is an apocalyptic number.

It is an amenable number.

312156414234517 is a deficient number, since it is larger than the sum of its proper divisors (1).

312156414234517 is an equidigital number, since it uses as much as digits as its factorization.

312156414234517 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2419200, while the sum is 49.

The spelling of 312156414234517 in words is "three hundred twelve trillion, one hundred fifty-six billion, four hundred fourteen million, two hundred thirty-four thousand, five hundred seventeen".