313253257625221 has 2 divisors, whose sum is σ = 313253257625222. Its totient is φ = 313253257625220.

The previous prime is 313253257625207. The next prime is 313253257625303. The reversal of 313253257625221 is 122526752352313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 296151401902500 + 17101855722721 = 17209050^2 + 4135439^2 .

It is an emirp because it is prime and its reverse (122526752352313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313253257625221 - 2³⁷ = 313115818671749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313253257623221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156626628812610 + 156626628812611.

It is an arithmetic number, because the mean of its divisors is an integer number (156626628812611).

Almost surely, 2^{313253257625221} is an apocalyptic number.

It is an amenable number.

313253257625221 is a deficient number, since it is larger than the sum of its proper divisors (1).

313253257625221 is an equidigital number, since it uses as much as digits as its factorization.

313253257625221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4536000, while the sum is 49.

The spelling of 313253257625221 in words is "three hundred thirteen trillion, two hundred fifty-three billion, two hundred fifty-seven million, six hundred twenty-five thousand, two hundred twenty-one".