253002525 has 48 divisors (see below), whose sum is σ = 437918400. Its totient is φ = 128719360.

The previous prime is 253002521. The next prime is 253002601. The reversal of 253002525 is 525200352.

253002525 = 2060² + 2061² + ... + 2117².

It is not a de Polignac number, because 253002525 - 2² = 253002521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 253002495 and 253002504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253002521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192922 + ... + 194228.

It is an arithmetic number, because the mean of its divisors is an integer number (9123300).

Almost surely, 2^253002525 is an apocalyptic number.

253002525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253002525 is a deficient number, since it is larger than the sum of its proper divisors (184915875).

253002525 is a wasteful number, since it uses less digits than its factorization.

253002525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 253002525 is about 15906.0530930838. The cubic root of 253002525 is about 632.4724584028.

Adding to 253002525 its reverse (525200352), we get a palindrome (778202877).

The spelling of 253002525 in words is "two hundred fifty-three million, two thousand, five hundred twenty-five".