2556009941653 has 6 divisors (see below), whose sum is σ = 2973317687286. Its totient is φ = 2190865664232.

The previous prime is 2556009941647. The next prime is 2556009941663. The reversal of 2556009941653 is 3561499006552.

It can be written as a sum of positive squares in only one way, i.e., 1663527289284 + 892482652369 = 1289778^2 + 944713^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2556009941653 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2556009941594 and 2556009941603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556009941663) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 26081734050 + ... + 26081734147.

It is an arithmetic number, because the mean of its divisors is an integer number (495552947881).

Almost surely, 2^{2556009941653} is an apocalyptic number.

It is an amenable number.

2556009941653 is a deficient number, since it is larger than the sum of its proper divisors (417307745633).

2556009941653 is an equidigital number, since it uses as much as digits as its factorization.

2556009941653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52163468211 (or 52163468204 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 55.

The spelling of 2556009941653 in words is "two trillion, five hundred fifty-six billion, nine million, nine hundred forty-one thousand, six hundred fifty-three".