252835007759 has 2 divisors, whose sum is σ = 252835007760. Its totient is φ = 252835007758.

The previous prime is 252835007753. The next prime is 252835007801. The reversal of 252835007759 is 957700538252.

252835007759 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-252835007759 is a prime.

It is a super-2 number, since 2×252835007759² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252835007759.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252835007753) 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, 126417503879 + 126417503880.

It is an arithmetic number, because the mean of its divisors is an integer number (126417503880).

Almost surely, 2^252835007759 is an apocalyptic number.

252835007759 is a deficient number, since it is larger than the sum of its proper divisors (1).

252835007759 is an equidigital number, since it uses as much as digits as its factorization.

252835007759 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292000, while the sum is 53.

The spelling of 252835007759 in words is "two hundred fifty-two billion, eight hundred thirty-five million, seven thousand, seven hundred fifty-nine".