253429506 has 64 divisors (see below), whose sum is σ = 650540160. Its totient is φ = 72276480.

The previous prime is 253429427. The next prime is 253429513. The reversal of 253429506 is 605924352.

It is a super-2 number, since 2×253429506² = 128453029022808072, which contains 22 as substring.

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, 2451 + ... + 22646.

It is an arithmetic number, because the mean of its divisors is an integer number (10164690).

Almost surely, 2^253429506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253429506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325270080).

253429506 is an abundant number, since it is smaller than the sum of its proper divisors (397110654).

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

253429506 is a wasteful number, since it uses less digits than its factorization.

253429506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25136 (or 25130 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 253429506 is about 15919.4694007055. The cubic root of 253429506 is about 632.8280568905.

The spelling of 253429506 in words is "two hundred fifty-three million, four hundred twenty-nine thousand, five hundred six".