253572100 has 72 divisors (see below), whose sum is σ = 595031360. Its totient is φ = 93467520.

The previous prime is 253572083. The next prime is 253572139. The reversal of 253572100 is 1275352.

253572100 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

253572100 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68497 + ... + 72103.

Almost surely, 2^253572100 is an apocalyptic number.

253572100 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 253572100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297515680).

253572100 is an abundant number, since it is smaller than the sum of its proper divisors (341459260).

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

253572100 is a wasteful number, since it uses less digits than its factorization.

253572100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 253572100 is about 15923.9473749444. The cubic root of 253572100 is about 632.9467231111.

It can be divided in two parts, 25 and 3572100, that multiplied together give a square (89302500 = 9450²).

The spelling of 253572100 in words is "two hundred fifty-three million, five hundred seventy-two thousand, one hundred".