2513585626272 has 960 divisors, whose sum is σ = 9345393066240. Its totient is φ = 646334152704.

The previous prime is 2513585626261. The next prime is 2513585626273. The reversal of 2513585626272 is 2726265853152.

2513585626272 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 5 + 8 + 5 + 6 + 2 + 627 + 2 = 666.

It is a super-2 number, since 2×2513585626272² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2513585626273) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 673340118 + ... + 673343850.

It is an arithmetic number, because the mean of its divisors is an integer number (9734784444).

Almost surely, 2^{2513585626272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513585626272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672696533120).

2513585626272 is an abundant number, since it is smaller than the sum of its proper divisors (6831807439968).

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

2513585626272 is a wasteful number, since it uses less digits than its factorization.

2513585626272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3858 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 2513585626272 in words is "two trillion, five hundred thirteen billion, five hundred eighty-five million, six hundred twenty-six thousand, two hundred seventy-two".