2505765201 has 16 divisors (see below), whose sum is σ = 3723739200. Its totient is φ = 1489494528.

The previous prime is 2505765173. The next prime is 2505765203. The reversal of 2505765201 is 1025675052.

2505765201 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 2505765201 - 2¹⁸ = 2505503057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2505765203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1291996 + ... + 1293933.

It is an arithmetic number, because the mean of its divisors is an integer number (232733700).

Almost surely, 2^2505765201 is an apocalyptic number.

It is an amenable number.

2505765201 is a deficient number, since it is larger than the sum of its proper divisors (1217973999).

2505765201 is a wasteful number, since it uses less digits than its factorization.

2505765201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585968.

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 2505765201 is about 50057.6188107265. The cubic root of 2505765201 is about 1358.2512849065.

The spelling of 2505765201 in words is "two billion, five hundred five million, seven hundred sixty-five thousand, two hundred one".