253131330 has 64 divisors (see below), whose sum is σ = 642981888. Its totient is φ = 63645120.

The previous prime is 253131323. The next prime is 253131391. The reversal of 253131330 is 33131352.

253131330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 253131297 and 253131306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46407 + ... + 51573.

It is an arithmetic number, because the mean of its divisors is an integer number (10046592).

Almost surely, 2^253131330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321490944).

253131330 is an abundant number, since it is smaller than the sum of its proper divisors (389850558).

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

253131330 is a wasteful number, since it uses less digits than its factorization.

253131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5271.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 253131330 is about 15910.1015081614. The cubic root of 253131330 is about 632.5797719484.

Adding to 253131330 its reverse (33131352), we get a palindrome (286262682).

The spelling of 253131330 in words is "two hundred fifty-three million, one hundred thirty-one thousand, three hundred thirty".