252833019520 has 64 divisors (see below), whose sum is σ = 639983608200. Its totient is φ = 95184191488.

The previous prime is 252833019499. The next prime is 252833019553. The reversal of 252833019520 is 25910338252.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 251899594816 + 933424704 = 501896^2 + 30552^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11608285 + ... + 11630044.

Almost surely, 2^252833019520 is an apocalyptic number.

252833019520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252833019520 is an abundant number, since it is smaller than the sum of its proper divisors (387150588680).

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

252833019520 is a wasteful number, since it uses less digits than its factorization.

252833019520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23238365 (or 23238353 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 252833019520 in words is "two hundred fifty-two billion, eight hundred thirty-three million, nineteen thousand, five hundred twenty".