2505262961 has 2 divisors, whose sum is σ = 2505262962. Its totient is φ = 2505262960.

The previous prime is 2505262951. The next prime is 2505262999. The reversal of 2505262961 is 1692625052.

2505262961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (2505262999) can be obtained adding 2505262961 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2445895936 + 59367025 = 49456^2 + 7705^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505262961 - 2¹⁰ = 2505261937 is a prime.

It is not a weakly prime, because it can be changed into another prime (2505262901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252631480 + 1252631481.

It is an arithmetic number, because the mean of its divisors is an integer number (1252631481).

Almost surely, 2^2505262961 is an apocalyptic number.

It is an amenable number.

2505262961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505262961 is an equidigital number, since it uses as much as digits as its factorization.

2505262961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 2505262961 is about 50052.6019403587. The cubic root of 2505262961 is about 1358.1605323616.

The spelling of 2505262961 in words is "two billion, five hundred five million, two hundred sixty-two thousand, nine hundred sixty-one".