252510740517105 has 48 divisors (see below), whose sum is σ = 501351187434240. Its totient is φ = 115170534889344.

The previous prime is 252510740517103. The next prime is 252510740517137. The reversal of 252510740517105 is 501715047015252.

252510740517105 is a `hidden beast` number, since 2 + 5 + 2 + 51 + 0 + 74 + 0 + 517 + 10 + 5 = 666.

It is not a de Polignac number, because 252510740517105 - 2¹ = 252510740517103 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (252510740517103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 912870142 + ... + 913146711.

It is an arithmetic number, because the mean of its divisors is an integer number (10444816404880).

Almost surely, 2^{252510740517105} is an apocalyptic number.

It is an amenable number.

252510740517105 is a deficient number, since it is larger than the sum of its proper divisors (248840446917135).

252510740517105 is a wasteful number, since it uses less digits than its factorization.

252510740517105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826017310 (or 1826017307 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 45.

The spelling of 252510740517105 in words is "two hundred fifty-two trillion, five hundred ten billion, seven hundred forty million, five hundred seventeen thousand, one hundred five".