252321152051100 has 144 divisors (see below), whose sum is σ = 800587035150336. Its totient is φ = 60848508672000.

The previous prime is 252321152051099. The next prime is 252321152051179. The reversal of 252321152051100 is 1150251123252.

252321152051100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252321152051100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199529269 + ... + 200789868.

It is an arithmetic number, because the mean of its divisors is an integer number (5559632188544).

Almost surely, 2^{252321152051100} is an apocalyptic number.

252321152051100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252321152051100 is an abundant number, since it is smaller than the sum of its proper divisors (548265883099236).

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

252321152051100 is a wasteful number, since it uses less digits than its factorization.

252321152051100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400319356 (or 400319349 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 252321152051100 in words is "two hundred fifty-two trillion, three hundred twenty-one billion, one hundred fifty-two million, fifty-one thousand, one hundred".