2505105987061 has 2 divisors, whose sum is σ = 2505105987062. Its totient is φ = 2505105987060.

The previous prime is 2505105987023. The next prime is 2505105987077. The reversal of 2505105987061 is 1607895015052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2398115502225 + 106990484836 = 1548585^2 + 327094^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505105987061 - 2⁹ = 2505105986549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2505105986996 and 2505105987014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2505105987361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252552993530 + 1252552993531.

It is an arithmetic number, because the mean of its divisors is an integer number (1252552993531).

Almost surely, 2^{2505105987061} is an apocalyptic number.

It is an amenable number.

2505105987061 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505105987061 is an equidigital number, since it uses as much as digits as its factorization.

2505105987061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756000, while the sum is 49.

The spelling of 2505105987061 in words is "two trillion, five hundred five billion, one hundred five million, nine hundred eighty-seven thousand, sixty-one".