253509120 has 120 divisors (see below), whose sum is σ = 878053176. Its totient is φ = 67596288.

The previous prime is 253509101. The next prime is 253509149. The reversal of 253509120 is 21905352.

253509120 is a `hidden beast` number, since 2 + 535 + 0 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17539 + ... + 28541.

Almost surely, 2^253509120 is an apocalyptic number.

253509120 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 253509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439026588).

253509120 is an abundant number, since it is smaller than the sum of its proper divisors (624544056).

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

253509120 is a wasteful number, since it uses less digits than its factorization.

253509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11032 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 253509120 is about 15921.9697273924. The cubic root of 253509120 is about 632.8943168654.

The spelling of 253509120 in words is "two hundred fifty-three million, five hundred nine thousand, one hundred twenty".