2513016656460 has 48 divisors (see below), whose sum is σ = 7818274044000. Its totient is φ = 670137774912.

The previous prime is 2513016656459. The next prime is 2513016656461. The reversal of 2513016656460 is 646566103152.

2513016656460 is a `hidden beast` number, since 2 + 5 + 13 + 0 + 16 + 6 + 564 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2513016656459) and next prime (2513016656461).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2513016656461) 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 15 ways as a sum of consecutive naturals, for example, 2326866735 + ... + 2326867814.

It is an arithmetic number, because the mean of its divisors is an integer number (162880709250).

Almost surely, 2^{2513016656460} is an apocalyptic number.

2513016656460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2513016656460 is an abundant number, since it is smaller than the sum of its proper divisors (5305257387540).

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

2513016656460 is a wasteful number, since it uses less digits than its factorization.

2513016656460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653734567 (or 4653734559 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 2513016656460 in words is "two trillion, five hundred thirteen billion, sixteen million, six hundred fifty-six thousand, four hundred sixty".