2505672575 has 36 divisors (see below), whose sum is σ = 3626477712. Its totient is φ = 1712390400.

The previous prime is 2505672541. The next prime is 2505672581. The reversal of 2505672575 is 5752765052.

It is not a de Polignac number, because 2505672575 - 2¹⁰ = 2505671551 is a prime.

It is a Duffinian number.

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 35 ways as a sum of consecutive naturals, for example, 377687 + ... + 384263.

It is an arithmetic number, because the mean of its divisors is an integer number (100735492).

Almost surely, 2^2505672575 is an apocalyptic number.

2505672575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2505672575 is a deficient number, since it is larger than the sum of its proper divisors (1120805137).

2505672575 is a wasteful number, since it uses less digits than its factorization.

2505672575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6912 (or 6900 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 44.

The square root of 2505672575 is about 50056.6936083477. The cubic root of 2505672575 is about 1358.2345487104.

The spelling of 2505672575 in words is "two billion, five hundred five million, six hundred seventy-two thousand, five hundred seventy-five".