253030752 has 144 divisors (see below), whose sum is σ = 815920560. Its totient is φ = 73737216.

The previous prime is 253030717. The next prime is 253030769. The reversal of 253030752 is 257030352.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×253030752² = 128049122915371008, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 69358 + ... + 72914.

It is an arithmetic number, because the mean of its divisors is an integer number (5666115).

Almost surely, 2^253030752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253030752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407960280).

253030752 is an abundant number, since it is smaller than the sum of its proper divisors (562889808).

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

253030752 is a wasteful number, since it uses less digits than its factorization.

253030752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 253030752 is about 15906.9403720514. The cubic root of 253030752 is about 632.4959787691.

The spelling of 253030752 in words is "two hundred fifty-three million, thirty thousand, seven hundred fifty-two".