2513673810261 has 6 divisors (see below), whose sum is σ = 3630862170390. Its totient is φ = 1675782540168.

The previous prime is 2513673810251. The next prime is 2513673810283. The reversal of 2513673810261 is 1620183763152.

It is a happy number.

2513673810261 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 6 + 7 + 381 + 0 + 261 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2072520140625 + 441153669636 = 1439625^2 + 664194^2 .

It is not a de Polignac number, because 2513673810261 - 2⁹ = 2513673809749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513673810251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139648545006 + ... + 139648545023.

It is an arithmetic number, because the mean of its divisors is an integer number (605143695065).

Almost surely, 2^{2513673810261} is an apocalyptic number.

It is an amenable number.

2513673810261 is a deficient number, since it is larger than the sum of its proper divisors (1117188360129).

2513673810261 is a wasteful number, since it uses less digits than its factorization.

2513673810261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279297090035 (or 279297090032 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2513673810261 in words is "two trillion, five hundred thirteen billion, six hundred seventy-three million, eight hundred ten thousand, two hundred sixty-one".