252733328001 has 96 divisors (see below), whose sum is σ = 482175203328. Its totient is φ = 123499537920.

The previous prime is 252733327991. The next prime is 252733328053. The reversal of 252733328001 is 100823337252.

252733328001 is a `hidden beast` number, since 25 + 27 + 333 + 280 + 0 + 1 = 666.

It is not a de Polignac number, because 252733328001 - 2¹⁸ = 252733065857 is a prime.

It is a super-2 number, since 2×252733328001² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252733328101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26702796 + ... + 26712258.

It is an arithmetic number, because the mean of its divisors is an integer number (5022658368).

Almost surely, 2^252733328001 is an apocalyptic number.

252733328001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

252733328001 is a deficient number, since it is larger than the sum of its proper divisors (229441875327).

252733328001 is a wasteful number, since it uses less digits than its factorization.

252733328001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11771 (or 11768 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 252733328001 in words is "two hundred fifty-two billion, seven hundred thirty-three million, three hundred twenty-eight thousand, one".