2556801 has 27 divisors (see below), whose sum is σ = 4099017. Its totient is φ = 1535040.

The previous prime is 2556793. The next prime is 2556803. The reversal of 2556801 is 1086552.

2556801 = 301² + 302² + ... + 326².

The square root of 2556801 is 1599.

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 1703025 + 853776 = 1305^2 + 924^2 .

It is not a de Polignac number, because 2556801 - 2³ = 2556793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2556803) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62341 + ... + 62381.

2^2556801 is an apocalyptic number.

2556801 is the 1599-th square number.

2556801 is the 800-th centered octagonal number.

It is an amenable number.

2556801 is a deficient number, since it is larger than the sum of its proper divisors (1542216).

2556801 is a wasteful number, since it uses less digits than its factorization.

2556801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The cubic root of 2556801 is about 136.7410705968.

It can be divided in two parts, 255 and 6801, that added together give a square (7056 = 84²).

The spelling of 2556801 in words is "two million, five hundred fifty-six thousand, eight hundred one".