252801073900 has 72 divisors (see below), whose sum is σ = 559478347344. Its totient is φ = 99122553600.

The previous prime is 252801073883. The next prime is 252801073907. The reversal of 252801073900 is 9370108252.

It is a super-2 number, since 2×252801073900² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252801073900.

It is not an unprimeable number, because it can be changed into a prime (252801073907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1716579 + ... + 1858021.

It is an arithmetic number, because the mean of its divisors is an integer number (7770532602).

Almost surely, 2^252801073900 is an apocalyptic number.

252801073900 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 252801073900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279739173672).

252801073900 is an abundant number, since it is smaller than the sum of its proper divisors (306677273444).

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

252801073900 is a wasteful number, since it uses less digits than its factorization.

252801073900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141811 (or 141804 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 252801073900 in words is "two hundred fifty-two billion, eight hundred one million, seventy-three thousand, nine hundred".