2505262901 has 2 divisors, whose sum is σ = 2505262902. Its totient is φ = 2505262900.

The previous prime is 2505262889. The next prime is 2505262909. The reversal of 2505262901 is 1092625052.

2505262901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2484922801 + 20340100 = 49849^2 + 4510^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2505262901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2505262909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252631450 + 1252631451.

It is an arithmetic number, because the mean of its divisors is an integer number (1252631451).

Almost surely, 2^2505262901 is an apocalyptic number.

It is an amenable number.

2505262901 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505262901 is an equidigital number, since it uses as much as digits as its factorization.

2505262901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 2505262901 is about 50052.6013409893. The cubic root of 2505262901 is about 1358.1605215191.

Adding to 2505262901 its reverse (1092625052), we get a palindrome (3597887953).

The spelling of 2505262901 in words is "two billion, five hundred five million, two hundred sixty-two thousand, nine hundred one".