2513352013000 has 64 divisors (see below), whose sum is σ = 5886939492720. Its totient is φ = 1004367168000.

The previous prime is 2513352012979. The next prime is 2513352013001. The reversal of 2513352013000 is 3102533152.

It can be written as a sum of positive squares in 8 ways, for example, as 171858335364 + 2341493677636 = 414558^2 + 1530194^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2513352013001) 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, 183531 + ... + 2249530.

Almost surely, 2^{2513352013000} is an apocalyptic number.

2513352013000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2513352013000 is an abundant number, since it is smaller than the sum of its proper divisors (3373587479720).

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

2513352013000 is a wasteful number, since it uses less digits than its factorization.

2513352013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434115 (or 2434101 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 2513352013000 its reverse (3102533152), we get a palindrome (2516454546152).

The spelling of 2513352013000 in words is "two trillion, five hundred thirteen billion, three hundred fifty-two million, thirteen thousand".