2505302525 has 48 divisors (see below), whose sum is σ = 3460492800. Its totient is φ = 1783953600.

The previous prime is 2505302483. The next prime is 2505302567. The reversal of 2505302525 is 5252035052.

It is an interprime number because it is at equal distance from previous prime (2505302483) and next prime (2505302567).

It is not a de Polignac number, because 2505302525 - 2¹⁰ = 2505301501 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4182176 + ... + 4182774.

It is an arithmetic number, because the mean of its divisors is an integer number (72093600).

Almost surely, 2^2505302525 is an apocalyptic number.

2505302525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2505302525 is a deficient number, since it is larger than the sum of its proper divisors (955190275).

2505302525 is a wasteful number, since it uses less digits than its factorization.

2505302525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 29.

The square root of 2505302525 is about 50052.9971630071. The cubic root of 2505302525 is about 1358.1676818413.

Adding to 2505302525 its reverse (5252035052), we get a palindrome (7757337577).

The spelling of 2505302525 in words is "two billion, five hundred five million, three hundred two thousand, five hundred twenty-five".