252123307213 has 2 divisors, whose sum is σ = 252123307214. Its totient is φ = 252123307212.

The previous prime is 252123307199. The next prime is 252123307283. The reversal of 252123307213 is 312703321252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221067351684 + 31055955529 = 470178^2 + 176227^2 .

It is a cyclic number.

It is not a de Polignac number, because 252123307213 - 2¹⁷ = 252123176141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252123307283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126061653606 + 126061653607.

It is an arithmetic number, because the mean of its divisors is an integer number (126061653607).

Almost surely, 2^252123307213 is an apocalyptic number.

It is an amenable number.

252123307213 is a deficient number, since it is larger than the sum of its proper divisors (1).

252123307213 is an equidigital number, since it uses as much as digits as its factorization.

252123307213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 31.

Adding to 252123307213 its reverse (312703321252), we get a palindrome (564826628465).

The spelling of 252123307213 in words is "two hundred fifty-two billion, one hundred twenty-three million, three hundred seven thousand, two hundred thirteen".