253156120 has 64 divisors (see below), whose sum is σ = 654739200. Its totient is φ = 86294400.

The previous prime is 253156103. The next prime is 253156153. The reversal of 253156120 is 21651352.

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, 47595 + ... + 52645.

It is an arithmetic number, because the mean of its divisors is an integer number (10230300).

Almost surely, 2^253156120 is an apocalyptic number.

253156120 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 253156120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327369600).

253156120 is an abundant number, since it is smaller than the sum of its proper divisors (401583080).

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

253156120 is a wasteful number, since it uses less digits than its factorization.

253156120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 253156120 is about 15910.8805538851. The cubic root of 253156120 is about 632.6004214938.

The spelling of 253156120 in words is "two hundred fifty-three million, one hundred fifty-six thousand, one hundred twenty".