2553105223513 has 8 divisors (see below), whose sum is σ = 2749702438728. Its totient is φ = 2356537223424.

The previous prime is 2553105223477. The next prime is 2553105223547. The reversal of 2553105223513 is 3153225013552.

2553105223513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 332325731529 + 2220779491984 = 576477^2 + 1490228^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2553105223513 - 2⁴¹ = 354081967961 is a prime.

It is a super-2 number, since 2×2553105223513² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2553105223583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7122106 + ... + 7471987.

It is an arithmetic number, because the mean of its divisors is an integer number (343712804841).

Almost surely, 2^{2553105223513} is an apocalyptic number.

It is an amenable number.

2553105223513 is a deficient number, since it is larger than the sum of its proper divisors (196597215215).

2553105223513 is a wasteful number, since it uses less digits than its factorization.

2553105223513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14607563.

The product of its (nonzero) digits is 135000, while the sum is 37.

The spelling of 2553105223513 in words is "two trillion, five hundred fifty-three billion, one hundred five million, two hundred twenty-three thousand, five hundred thirteen".