253133804 has 72 divisors (see below), whose sum is σ = 566918352. Its totient is φ = 97789440.

The previous prime is 253133801. The next prime is 253133809. The reversal of 253133804 is 408331352.

It is not an unprimeable number, because it can be changed into a prime (253133801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294944 + ... + 295800.

It is an arithmetic number, because the mean of its divisors is an integer number (7873866).

Almost surely, 2^253133804 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 253133804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283459176).

253133804 is an abundant number, since it is smaller than the sum of its proper divisors (313784548).

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

253133804 is a wasteful number, since it uses less digits than its factorization.

253133804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 253133804 is about 15910.1792573183. The cubic root of 253133804 is about 632.5818327986.

The spelling of 253133804 in words is "two hundred fifty-three million, one hundred thirty-three thousand, eight hundred four".