252904371761 has 2 divisors, whose sum is σ = 252904371762. Its totient is φ = 252904371760.

The previous prime is 252904371737. The next prime is 252904371763. The reversal of 252904371761 is 167173409252.

252904371761 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., 209873018161 + 43031353600 = 458119^2 + 207440^2 .

It is a cyclic number.

It is not a de Polignac number, because 252904371761 - 2¹⁸ = 252904109617 is a prime.

It is a super-2 number, since 2×252904371761² (a number of 24 digits) contains 22 as substring.

Together with 252904371763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (252904371763) 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, 126452185880 + 126452185881.

It is an arithmetic number, because the mean of its divisors is an integer number (126452185881).

Almost surely, 2^252904371761 is an apocalyptic number.

It is an amenable number.

252904371761 is a deficient number, since it is larger than the sum of its proper divisors (1).

252904371761 is an equidigital number, since it uses as much as digits as its factorization.

252904371761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 635040, while the sum is 47.

The spelling of 252904371761 in words is "two hundred fifty-two billion, nine hundred four million, three hundred seventy-one thousand, seven hundred sixty-one".