252502723000 has 512 divisors, whose sum is σ = 705729024000. Its totient is φ = 83566080000.

The previous prime is 252502722977. The next prime is 252502723009. The reversal of 252502723000 is 327205252.

It is a self number, because there is not a number n which added to its sum of digits gives 252502723000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252502723009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 676950814 + ... + 676951186.

It is an arithmetic number, because the mean of its divisors is an integer number (1378377000).

Almost surely, 2^252502723000 is an apocalyptic number.

252502723000 is a gapful number since it is divisible by the number (20) 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 252502723000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352864512000).

252502723000 is an abundant number, since it is smaller than the sum of its proper divisors (453226301000).

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

252502723000 is a wasteful number, since it uses less digits than its factorization.

252502723000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

Adding to 252502723000 its reverse (327205252), we get a palindrome (252829928252).

The spelling of 252502723000 in words is "two hundred fifty-two billion, five hundred two million, seven hundred twenty-three thousand".