252510740502345 has 192 divisors, whose sum is σ = 487992782050560. Its totient is φ = 123828135395328.

The previous prime is 252510740502331. The next prime is 252510740502347. The reversal of 252510740502345 is 543205047015252.

It is a happy number.

252510740502345 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 1 + 0 + 7 + 405 + 0 + 234 + 5 = 666.

It is not a de Polignac number, because 252510740502345 - 2⁵ = 252510740502313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 252510740502345.

It is not an unprimeable number, because it can be changed into a prime (252510740502347) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23482812489 + ... + 23482823241.

It is an arithmetic number, because the mean of its divisors is an integer number (2541629073180).

Almost surely, 2^{252510740502345} is an apocalyptic number.

It is an amenable number.

252510740502345 is a deficient number, since it is larger than the sum of its proper divisors (235482041548215).

252510740502345 is a wasteful number, since it uses less digits than its factorization.

252510740502345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14713 (or 14694 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

Adding to 252510740502345 its reverse (543205047015252), we get a palindrome (795715787517597).

The spelling of 252510740502345 in words is "two hundred fifty-two trillion, five hundred ten billion, seven hundred forty million, five hundred two thousand, three hundred forty-five".