252124333553 has 2 divisors, whose sum is σ = 252124333554. Its totient is φ = 252124333552.

The previous prime is 252124333537. The next prime is 252124333561. The reversal of 252124333553 is 355333421252.

252124333553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202741271824 + 49383061729 = 450268^2 + 222223^2 .

It is a cyclic number.

It is not a de Polignac number, because 252124333553 - 2⁴ = 252124333537 is a prime.

It is not a weakly prime, because it can be changed into another prime (252124333583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126062166776 + 126062166777.

It is an arithmetic number, because the mean of its divisors is an integer number (126062166777).

Almost surely, 2^252124333553 is an apocalyptic number.

It is an amenable number.

252124333553 is a deficient number, since it is larger than the sum of its proper divisors (1).

252124333553 is an equidigital number, since it uses as much as digits as its factorization.

252124333553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324000, while the sum is 38.

The spelling of 252124333553 in words is "two hundred fifty-two billion, one hundred twenty-four million, three hundred thirty-three thousand, five hundred fifty-three".