252227516805 has 48 divisors (see below), whose sum is σ = 480420742464. Its totient is φ = 121399453440.

The previous prime is 252227516789. The next prime is 252227516809. The reversal of 252227516805 is 508615722252.

252227516805 is a `hidden beast` number, since 2 + 52 + 2 + 2 + 7 + 516 + 80 + 5 = 666.

It is not a de Polignac number, because 252227516805 - 2⁴ = 252227516789 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252227516809) 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 in 47 ways as a sum of consecutive naturals, for example, 1791859 + ... + 1927488.

It is an arithmetic number, because the mean of its divisors is an integer number (10008765468).

Almost surely, 2^252227516805 is an apocalyptic number.

It is an amenable number.

252227516805 is a deficient number, since it is larger than the sum of its proper divisors (228193225659).

252227516805 is a wasteful number, since it uses less digits than its factorization.

252227516805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719506 (or 3719503 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 252227516805 in words is "two hundred fifty-two billion, two hundred twenty-seven million, five hundred sixteen thousand, eight hundred five".