312413251 has 2 divisors, whose sum is σ = 312413252. Its totient is φ = 312413250.

The previous prime is 312413249. The next prime is 312413273. The reversal of 312413251 is 152314213.

It is a happy number.

It is an a-pointer prime, because the next prime (312413273) can be obtained adding 312413251 to its sum of digits (22).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 312413251 - 2¹ = 312413249 is a prime.

Together with 312413249, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312413221) 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, 156206625 + 156206626.

It is an arithmetic number, because the mean of its divisors is an integer number (156206626).

Almost surely, 2^312413251 is an apocalyptic number.

312413251 is a deficient number, since it is larger than the sum of its proper divisors (1).

312413251 is an equidigital number, since it uses as much as digits as its factorization.

312413251 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 22.

The square root of 312413251 is about 17675.2157271135. The cubic root of 312413251 is about 678.5416055338.

Adding to 312413251 its reverse (152314213), we get a palindrome (464727464).

The spelling of 312413251 in words is "three hundred twelve million, four hundred thirteen thousand, two hundred fifty-one".