252503260993 has 2 divisors, whose sum is σ = 252503260994. Its totient is φ = 252503260992.

The previous prime is 252503260967. The next prime is 252503261047. The reversal of 252503260993 is 399062305252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 234438019344 + 18065241649 = 484188^2 + 134407^2 .

It is a cyclic number.

It is not a de Polignac number, because 252503260993 - 2³⁷ = 115064307521 is a prime.

It is not a weakly prime, because it can be changed into another prime (252503261993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126251630496 + 126251630497.

It is an arithmetic number, because the mean of its divisors is an integer number (126251630497).

Almost surely, 2^252503260993 is an apocalyptic number.

It is an amenable number.

252503260993 is a deficient number, since it is larger than the sum of its proper divisors (1).

252503260993 is an equidigital number, since it uses as much as digits as its factorization.

252503260993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 874800, while the sum is 46.

The spelling of 252503260993 in words is "two hundred fifty-two billion, five hundred three million, two hundred sixty thousand, nine hundred ninety-three".