252141550230300 has 288 divisors, whose sum is σ = 790489155456000. Its totient is φ = 61804460605440.

The previous prime is 252141550230281. The next prime is 252141550230403. The reversal of 252141550230300 is 3032055141252.

It is a super-2 number, since 2×252141550230300² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2308955101 + ... + 2309064299.

It is an arithmetic number, because the mean of its divisors is an integer number (2744754012000).

Almost surely, 2^{252141550230300} is an apocalyptic number.

252141550230300 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 252141550230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395244577728000).

252141550230300 is an abundant number, since it is smaller than the sum of its proper divisors (538347605225700).

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

252141550230300 is a wasteful number, since it uses less digits than its factorization.

252141550230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119805 (or 119798 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 252141550230300 in words is "two hundred fifty-two trillion, one hundred forty-one billion, five hundred fifty million, two hundred thirty thousand, three hundred".