253171072 has 128 divisors (see below), whose sum is σ = 666247680. Its totient is φ = 92774400.

The previous prime is 253171069. The next prime is 253171103. The reversal of 253171072 is 270171352.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 253171072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166797 + ... + 168307.

It is an arithmetic number, because the mean of its divisors is an integer number (5205060).

Almost surely, 2^253171072 is an apocalyptic number.

253171072 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 253171072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333123840).

253171072 is an abundant number, since it is smaller than the sum of its proper divisors (413076608).

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

253171072 is a wasteful number, since it uses less digits than its factorization.

253171072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 253171072 is about 15911.3504140912. The cubic root of 253171072 is about 632.6128755416.

The spelling of 253171072 in words is "two hundred fifty-three million, one hundred seventy-one thousand, seventy-two".