2505302505025 has 12 divisors (see below), whose sum is σ = 3150329687424. Its totient is φ = 1976013242000.

The previous prime is 2505302504989. The next prime is 2505302505029. The reversal of 2505302505025 is 5205052035052.

2505302505025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2505302505025 - 2²³ = 2505294116417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2505302505029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705717241 + ... + 705720790.

It is an arithmetic number, because the mean of its divisors is an integer number (262527473952).

Almost surely, 2^{2505302505025} is an apocalyptic number.

2505302505025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2505302505025 is a deficient number, since it is larger than the sum of its proper divisors (645027182399).

2505302505025 is a wasteful number, since it uses less digits than its factorization.

2505302505025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411438112 (or 1411438107 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 34.

The spelling of 2505302505025 in words is "two trillion, five hundred five billion, three hundred two million, five hundred five thousand, twenty-five".