2507675105761 has 32 divisors (see below), whose sum is σ = 2942314502400. Its totient is φ = 2092769602560.

The previous prime is 2507675105711. The next prime is 2507675105813. The reversal of 2507675105761 is 1675015767052.

It is not a de Polignac number, because 2507675105761 - 2⁹ = 2507675105249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2507675105699 and 2507675105708.

It is not an unprimeable number, because it can be changed into a prime (2507675105711) 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 in 31 ways as a sum of consecutive naturals, for example, 129995805 + ... + 130015093.

It is an arithmetic number, because the mean of its divisors is an integer number (91947328200).

Almost surely, 2^{2507675105761} is an apocalyptic number.

It is an amenable number.

2507675105761 is a deficient number, since it is larger than the sum of its proper divisors (434639396639).

2507675105761 is a wasteful number, since it uses less digits than its factorization.

2507675105761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22009.

The product of its (nonzero) digits is 3087000, while the sum is 52.

The spelling of 2507675105761 in words is "two trillion, five hundred seven billion, six hundred seventy-five million, one hundred five thousand, seven hundred sixty-one".