2513709459261 has 144 divisors (see below), whose sum is σ = 5065642968960. Its totient is φ = 1205373312000.

The previous prime is 2513709459227. The next prime is 2513709459263. The reversal of 2513709459261 is 1629549073152.

2513709459261 is a `hidden beast` number, since 2 + 5 + 1 + 370 + 9 + 4 + 5 + 9 + 261 = 666.

It is not a de Polignac number, because 2513709459261 - 2⁶ = 2513709459197 is a prime.

It is a super-2 number, since 2×2513709459261² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2513709459198 and 2513709459207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513709459263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3539661 + ... + 4190061.

Almost surely, 2^{2513709459261} is an apocalyptic number.

2513709459261 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2513709459261 is an abundant number, since it is smaller than the sum of its proper divisors (2551933509699).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2513709459261 is a wasteful number, since it uses less digits than its factorization.

2513709459261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650465 (or 650435 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 2513709459261 in words is "two trillion, five hundred thirteen billion, seven hundred nine million, four hundred fifty-nine thousand, two hundred sixty-one".