253000253 has 16 divisors (see below), whose sum is σ = 290881152. Its totient is φ = 217800000.

The previous prime is 253000247. The next prime is 253000277. The reversal of 253000253 is 352000352.

It is not a de Polignac number, because 253000253 - 2²⁰ = 251951677 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253000243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20603 + ... + 30503.

It is an arithmetic number, because the mean of its divisors is an integer number (18180072).

Almost surely, 2^253000253 is an apocalyptic number.

253000253 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

253000253 is a deficient number, since it is larger than the sum of its proper divisors (37880899).

253000253 is a wasteful number, since it uses less digits than its factorization.

253000253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10036.

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 253000253 is about 15905.9816735717. The cubic root of 253000253 is about 632.4705651651.

Subtracting 253000253 from its reverse (352000352), we obtain a palindrome (99000099).

The spelling of 253000253 in words is "two hundred fifty-three million, two hundred fifty-three", and thus it is an aban number.