253521972 has 108 divisors (see below), whose sum is σ = 714674688. Its totient is φ = 75146400.

The previous prime is 253521971. The next prime is 253521991. The reversal of 253521972 is 279125352.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253521971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1996173 + ... + 1996299.

Almost surely, 2^253521972 is an apocalyptic number.

253521972 is a gapful number since it is divisible by the number (22) 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 253521972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357337344).

253521972 is an abundant number, since it is smaller than the sum of its proper divisors (461152716).

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

253521972 is a wasteful number, since it uses less digits than its factorization.

253521972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 214 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 253521972 is about 15922.3733155582. The cubic root of 253521972 is about 632.9050118393.

It can be divided in two parts, 253 and 521972, that added together give a palindrome (522225).

The spelling of 253521972 in words is "two hundred fifty-three million, five hundred twenty-one thousand, nine hundred seventy-two".