253035825 has 48 divisors (see below), whose sum is σ = 503301120. Its totient is φ = 109581120.

The previous prime is 253035799. The next prime is 253035851. The reversal of 253035825 is 528530352.

It is an interprime number because it is at equal distance from previous prime (253035799) and next prime (253035851).

It is not a de Polignac number, because 253035825 - 2⁸ = 253035569 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2709 + ... + 22658.

It is an arithmetic number, because the mean of its divisors is an integer number (10485440).

Almost surely, 2^253035825 is an apocalyptic number.

253035825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253035825 is a deficient number, since it is larger than the sum of its proper divisors (250265295).

253035825 is a wasteful number, since it uses less digits than its factorization.

253035825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25406 (or 25401 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 253035825 is about 15907.0998299501. The cubic root of 253035825 is about 632.5002057002.

The spelling of 253035825 in words is "two hundred fifty-three million, thirty-five thousand, eight hundred twenty-five".