253201104 has 60 divisors (see below), whose sum is σ = 763125636. Its totient is φ = 77907456.

The previous prime is 253201099. The next prime is 253201121. The reversal of 253201104 is 401102352.

253201104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 95648400 + 157552704 = 9780^2 + 12552^2 .

It is a super-2 number, since 2×253201104² = 128221598133637632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65757 + ... + 69500.

Almost surely, 2^253201104 is an apocalyptic number.

253201104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253201104 is an abundant number, since it is smaller than the sum of its proper divisors (509924532).

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

253201104 is a wasteful number, since it uses less digits than its factorization.

253201104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135284 (or 135275 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 253201104 is about 15912.2941149289. The cubic root of 253201104 is about 632.6378887716.

Adding to 253201104 its reverse (401102352), we get a palindrome (654303456).

The spelling of 253201104 in words is "two hundred fifty-three million, two hundred one thousand, one hundred four".