311253121 has 2 divisors, whose sum is σ = 311253122. Its totient is φ = 311253120.

The previous prime is 311253091. The next prime is 311253133. The reversal of 311253121 is 121352113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311169600 + 83521 = 17640^2 + 289^2 .

It is a cyclic number.

It is not a de Polignac number, because 311253121 - 2²¹ = 309155969 is a prime.

It is not a weakly prime, because it can be changed into another prime (311251121) 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, 155626560 + 155626561.

It is an arithmetic number, because the mean of its divisors is an integer number (155626561).

Almost surely, 2^311253121 is an apocalyptic number.

It is an amenable number.

311253121 is a deficient number, since it is larger than the sum of its proper divisors (1).

311253121 is an equidigital number, since it uses as much as digits as its factorization.

311253121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 19.

The square root of 311253121 is about 17642.3672164480. The cubic root of 311253121 is about 677.7006543368.

The spelling of 311253121 in words is "three hundred eleven million, two hundred fifty-three thousand, one hundred twenty-one".