253117080 has 192 divisors, whose sum is σ = 887047200. Its totient is φ = 62361600.

The previous prime is 253117079. The next prime is 253117091. The reversal of 253117080 is 80711352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360730 + ... + 361430.

Almost surely, 2^253117080 is an apocalyptic number.

253117080 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 253117080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443523600).

253117080 is an abundant number, since it is smaller than the sum of its proper divisors (633930120).

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

253117080 is a wasteful number, since it uses less digits than its factorization.

253117080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 253117080 is about 15909.6536731633. The cubic root of 253117080 is about 632.5679013898.

The spelling of 253117080 in words is "two hundred fifty-three million, one hundred seventeen thousand, eighty".