253305125 has 16 divisors (see below), whose sum is σ = 319690800. Its totient is φ = 200358400.

The previous prime is 253305103. The next prime is 253305133. The reversal of 253305125 is 521503352.

It can be written as a sum of positive squares in 8 ways, for example, as 201838849 + 51466276 = 14207^2 + 7174^2 .

It is not a de Polignac number, because 253305125 - 2¹² = 253301029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 253305094 and 253305103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260 + ... + 22509.

It is an arithmetic number, because the mean of its divisors is an integer number (19980675).

Almost surely, 2^253305125 is an apocalyptic number.

253305125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253305125 is a deficient number, since it is larger than the sum of its proper divisors (66385675).

253305125 is an equidigital number, since it uses as much as digits as its factorization.

253305125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22873 (or 22863 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 253305125 is about 15915.5623526158. The cubic root of 253305125 is about 632.7245111112.

Adding to 253305125 its reverse (521503352), we get a palindrome (774808477).

The spelling of 253305125 in words is "two hundred fifty-three million, three hundred five thousand, one hundred twenty-five".