2625006460261 has 2 divisors, whose sum is σ = 2625006460262. Its totient is φ = 2625006460260.

The previous prime is 2625006460259. The next prime is 2625006460327. The reversal of 2625006460261 is 1620646005262.

2625006460261 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1983573659236 + 641432801025 = 1408394^2 + 800895^2 .

It is a cyclic number.

It is not a de Polignac number, because 2625006460261 - 2¹ = 2625006460259 is a prime.

Together with 2625006460259, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2625006460361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1312503230130 + 1312503230131.

It is an arithmetic number, because the mean of its divisors is an integer number (1312503230131).

Almost surely, 2^{2625006460261} is an apocalyptic number.

It is an amenable number.

2625006460261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2625006460261 is an equidigital number, since it uses as much as digits as its factorization.

2625006460261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 2625006460261 in words is "two trillion, six hundred twenty-five billion, six million, four hundred sixty thousand, two hundred sixty-one".