2556727446529 has 9 divisors (see below), whose sum is σ = 2560822576641. Its totient is φ = 2552638862340.

The previous prime is 2556727446509. The next prime is 2556727446557. The reversal of 2556727446529 is 9256447276552.

The square root of 2556727446529 is 1598977.

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

It is not a de Polignac number, because 2556727446529 - 2¹⁹ = 2556726922241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2556727446509) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1738087264 + ... + 1738088734.

It is an arithmetic number, because the mean of its divisors is an integer number (284535841849).

Almost surely, 2^{2556727446529} is an apocalyptic number.

2556727446529 is the 1598977-th square number.

2556727446529 is the 799489-th centered octagonal number.

It is an amenable number.

2556727446529 is a deficient number, since it is larger than the sum of its proper divisors (4095130112).

2556727446529 is an frugal number, since it uses more digits than its factorization.

2556727446529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 2558 counting only the distinct ones).

The product of its digits is 254016000, while the sum is 64.

Multiplying 2556727446529 by its sum of digits (64), we get a square (163630556577856 = 12791816²).

The spelling of 2556727446529 in words is "two trillion, five hundred fifty-six billion, seven hundred twenty-seven million, four hundred forty-six thousand, five hundred twenty-nine".