2553005103013 has 16 divisors (see below), whose sum is σ = 2654108762112. Its totient is φ = 2453089230000.

The previous prime is 2553005103007. The next prime is 2553005103023. The reversal of 2553005103013 is 3103015003552.

It is a cyclic number.

It is not a de Polignac number, because 2553005103013 - 2¹³ = 2553005094821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553005103023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9524718 + ... + 9789088.

It is an arithmetic number, because the mean of its divisors is an integer number (165881797632).

Almost surely, 2^{2553005103013} is an apocalyptic number.

It is an amenable number.

2553005103013 is a deficient number, since it is larger than the sum of its proper divisors (101103659099).

2553005103013 is a wasteful number, since it uses less digits than its factorization.

2553005103013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266616.

The product of its (nonzero) digits is 6750, while the sum is 28.

The spelling of 2553005103013 in words is "two trillion, five hundred fifty-three billion, five million, one hundred three thousand, thirteen".