312412561 has 2 divisors, whose sum is σ = 312412562. Its totient is φ = 312412560.

The previous prime is 312412489. The next prime is 312412577. The reversal of 312412561 is 165214213.

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., 304711936 + 7700625 = 17456^2 + 2775^2 .

It is a cyclic number.

It is not a de Polignac number, because 312412561 - 2⁷ = 312412433 is a prime.

It is not a weakly prime, because it can be changed into another prime (312410561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156206280 + 156206281.

It is an arithmetic number, because the mean of its divisors is an integer number (156206281).

Almost surely, 2^312412561 is an apocalyptic number.

It is an amenable number.

312412561 is a deficient number, since it is larger than the sum of its proper divisors (1).

312412561 is an equidigital number, since it uses as much as digits as its factorization.

312412561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1440, while the sum is 25.

The square root of 312412561 is about 17675.1962082462. The cubic root of 312412561 is about 678.5411059881.

Adding to 312412561 its reverse (165214213), we get a palindrome (477626774).

The spelling of 312412561 in words is "three hundred twelve million, four hundred twelve thousand, five hundred sixty-one".