312525251 has 2 divisors, whose sum is σ = 312525252. Its totient is φ = 312525250.

The previous prime is 312525233. The next prime is 312525271. The reversal of 312525251 is 152525213.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 312525251 - 2²⁶ = 245416387 is a prime.

It is a super-2 number, since 2×312525251² = 195344065025226002, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312525251.

It is not a weakly prime, because it can be changed into another prime (312525221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156262625 + 156262626.

It is an arithmetic number, because the mean of its divisors is an integer number (156262626).

Almost surely, 2^312525251 is an apocalyptic number.

312525251 is a deficient number, since it is larger than the sum of its proper divisors (1).

312525251 is an equidigital number, since it uses as much as digits as its factorization.

312525251 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3000, while the sum is 26.

The square root of 312525251 is about 17678.3837213700. The cubic root of 312525251 is about 678.6226814589.

The spelling of 312525251 in words is "three hundred twelve million, five hundred twenty-five thousand, two hundred fifty-one".