252586573824 has 480 divisors, whose sum is σ = 770239451520. Its totient is φ = 73062678528.

The previous prime is 252586573823. The next prime is 252586573847. The reversal of 252586573824 is 428375685252.

It is a super-2 number, since 2×252586573824² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252586573823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 796802914 + ... + 796803230.

It is an arithmetic number, because the mean of its divisors is an integer number (1604665524).

Almost surely, 2^252586573824 is an apocalyptic number.

252586573824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252586573824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385119725760).

252586573824 is an abundant number, since it is smaller than the sum of its proper divisors (517652877696).

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

252586573824 is a wasteful number, since it uses less digits than its factorization.

252586573824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 407 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 57.

The spelling of 252586573824 in words is "two hundred fifty-two billion, five hundred eighty-six million, five hundred seventy-three thousand, eight hundred twenty-four".