312515353 has 2 divisors, whose sum is σ = 312515354. Its totient is φ = 312515352.

The previous prime is 312515351. The next prime is 312515381. The reversal of 312515353 is 353515213.

It is an a-pointer prime, because the next prime (312515381) can be obtained adding 312515353 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 304432704 + 8082649 = 17448^2 + 2843^2 .

It is a cyclic number.

It is not a de Polignac number, because 312515353 - 2¹ = 312515351 is a prime.

Together with 312515351, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312515351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156257676 + 156257677.

It is an arithmetic number, because the mean of its divisors is an integer number (156257677).

Almost surely, 2^312515353 is an apocalyptic number.

It is an amenable number.

312515353 is a deficient number, since it is larger than the sum of its proper divisors (1).

312515353 is an equidigital number, since it uses as much as digits as its factorization.

312515353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6750, while the sum is 28.

The square root of 312515353 is about 17678.1037727467. The cubic root of 312515353 is about 678.6155171544.

The spelling of 312515353 in words is "three hundred twelve million, five hundred fifteen thousand, three hundred fifty-three".