253375080 has 192 divisors, whose sum is σ = 906655680. Its totient is φ = 56448000.

The previous prime is 253375069. The next prime is 253375093. The reversal of 253375080 is 80573352.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 240555 + ... + 241605.

It is an arithmetic number, because the mean of its divisors is an integer number (4722165).

Almost surely, 2^253375080 is an apocalyptic number.

253375080 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 253375080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453327840).

253375080 is an abundant number, since it is smaller than the sum of its proper divisors (653280600).

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

253375080 is a wasteful number, since it uses less digits than its factorization.

253375080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 253375080 is about 15917.7598926482. The cubic root of 253375080 is about 632.7827520294.

The spelling of 253375080 in words is "two hundred fifty-three million, three hundred seventy-five thousand, eighty".