253106304 has 64 divisors (see below), whose sum is σ = 733445280. Its totient is φ = 76697600.

The previous prime is 253106297. The next prime is 253106333. The reversal of 253106304 is 403601352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×253106304² = 128125602249080832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25737 + ... + 34184.

Almost surely, 2^253106304 is an apocalyptic number.

253106304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253106304 is an abundant number, since it is smaller than the sum of its proper divisors (480338976).

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

253106304 is a wasteful number, since it uses less digits than its factorization.

253106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59949 (or 59937 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 253106304 is about 15909.3150072528. The cubic root of 253106304 is about 632.5589244525.

Adding to 253106304 its reverse (403601352), we get a palindrome (656707656).

The spelling of 253106304 in words is "two hundred fifty-three million, one hundred six thousand, three hundred four".