2556075105529 has 45 divisors (see below), whose sum is σ = 2866545522045. Its totient is φ = 2279210788800.

The previous prime is 2556075105473. The next prime is 2556075105539. The reversal of 2556075105529 is 9255015706552.

The square root of 2556075105529 is 1598773.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 844551810025 + 1711523295504 = 918995^2 + 1308252^2 .

It is not a de Polignac number, because 2556075105529 - 2¹⁷ = 2556074974457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2556075105539) 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 44 ways as a sum of consecutive naturals, for example, 14121961819 + ... + 14121961999.

It is an arithmetic number, because the mean of its divisors is an integer number (63701011601).

Almost surely, 2^{2556075105529} is an apocalyptic number.

2556075105529 is the 1598773-rd square number.

2556075105529 is the 799387-th centered octagonal number.

It is an amenable number.

2556075105529 is a deficient number, since it is larger than the sum of its proper divisors (310470416516).

2556075105529 is an frugal number, since it uses more digits than its factorization.

2556075105529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 4725000, while the sum is 52.

The spelling of 2556075105529 in words is "two trillion, five hundred fifty-six billion, seventy-five million, one hundred five thousand, five hundred twenty-nine".