2505305025 has 24 divisors (see below), whose sum is σ = 4602339360. Its totient is φ = 1336162320.

The previous prime is 2505305009. The next prime is 2505305029. The reversal of 2505305025 is 5205035052.

It is not a de Polignac number, because 2505305025 - 2⁴ = 2505305009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2505305025.

It is not an unprimeable number, because it can be changed into a prime (2505305029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1855107 + ... + 1856456.

It is an arithmetic number, because the mean of its divisors is an integer number (191764140).

Almost surely, 2^2505305025 is an apocalyptic number.

2505305025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2505305025 is a deficient number, since it is larger than the sum of its proper divisors (2097034335).

2505305025 is a wasteful number, since it uses less digits than its factorization.

2505305025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711582 (or 3711571 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 2505305025 is about 50053.0221365304. The cubic root of 2505305025 is about 1358.1681336056.

The spelling of 2505305025 in words is "two billion, five hundred five million, three hundred five thousand, twenty-five".