252527527746 has 64 divisors (see below), whose sum is σ = 612618128640. Its totient is φ = 76636368000.

The previous prime is 252527527697. The next prime is 252527527783. The reversal of 252527527746 is 647725725252.

252527527746 is a `hidden beast` number, since 2 + 5 + 2 + 527 + 5 + 2 + 77 + 46 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 252527527692 and 252527527701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2412630 + ... + 2515121.

It is an arithmetic number, because the mean of its divisors is an integer number (9572158260).

Almost surely, 2^252527527746 is an apocalyptic number.

252527527746 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

252527527746 is an abundant number, since it is smaller than the sum of its proper divisors (360090600894).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252527527746 is a wasteful number, since it uses less digits than its factorization.

252527527746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927848 (or 4927842 counting only the distinct ones).

The product of its digits is 16464000, while the sum is 54.

The spelling of 252527527746 in words is "two hundred fifty-two billion, five hundred twenty-seven million, five hundred twenty-seven thousand, seven hundred forty-six".