312314010461 has 2 divisors, whose sum is σ = 312314010462. Its totient is φ = 312314010460.

The previous prime is 312314010451. The next prime is 312314010467. The reversal of 312314010461 is 164010413213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181971349561 + 130342660900 = 426581^2 + 361030^2 .

It is a cyclic number.

It is not a de Polignac number, because 312314010461 - 2⁶ = 312314010397 is a prime.

It is a super-2 number, since 2×312314010461² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312314010461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312314010467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156157005230 + 156157005231.

It is an arithmetic number, because the mean of its divisors is an integer number (156157005231).

Almost surely, 2^312314010461 is an apocalyptic number.

It is an amenable number.

312314010461 is a deficient number, since it is larger than the sum of its proper divisors (1).

312314010461 is an equidigital number, since it uses as much as digits as its factorization.

312314010461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 312314010461 its reverse (164010413213), we get a palindrome (476324423674).

The spelling of 312314010461 in words is "three hundred twelve billion, three hundred fourteen million, ten thousand, four hundred sixty-one".