2513514025242 has 32 divisors (see below), whose sum is σ = 6093367335360. Its totient is φ = 761670916560.

The previous prime is 2513514025189. The next prime is 2513514025273. The reversal of 2513514025242 is 2425204153152.

2513514025242 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 5 + 1 + 402 + 5 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2513514025197 and 2513514025206.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2115751953 + ... + 2115753140.

It is an arithmetic number, because the mean of its divisors is an integer number (190417729230).

Almost surely, 2^{2513514025242} is an apocalyptic number.

2513514025242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2513514025242 is an abundant number, since it is smaller than the sum of its proper divisors (3579853310118).

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

2513514025242 is a wasteful number, since it uses less digits than its factorization.

2513514025242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231505115 (or 4231505109 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 2513514025242 its reverse (2425204153152), we get a palindrome (4938718178394).

The spelling of 2513514025242 in words is "two trillion, five hundred thirteen billion, five hundred fourteen million, twenty-five thousand, two hundred forty-two".