313521253 has 2 divisors, whose sum is σ = 313521254. Its totient is φ = 313521252.

The previous prime is 313521199. The next prime is 313521281. The reversal of 313521253 is 352125313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306880324 + 6640929 = 17518^2 + 2577^2 .

It is a cyclic number.

It is not a de Polignac number, because 313521253 - 2⁹ = 313520741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313521283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156760626 + 156760627.

It is an arithmetic number, because the mean of its divisors is an integer number (156760627).

Almost surely, 2^313521253 is an apocalyptic number.

It is an amenable number.

313521253 is a deficient number, since it is larger than the sum of its proper divisors (1).

313521253 is an equidigital number, since it uses as much as digits as its factorization.

313521253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2700, while the sum is 25.

The square root of 313521253 is about 17706.5313655724. The cubic root of 313521253 is about 679.3428289080.

Adding to 313521253 its reverse (352125313), we get a palindrome (665646566).

The spelling of 313521253 in words is "three hundred thirteen million, five hundred twenty-one thousand, two hundred fifty-three".