2560803263001 has 27 divisors (see below), whose sum is σ = 3822329817813. Its totient is φ = 1652035122360.

The previous prime is 2560803262999. The next prime is 2560803263009. The reversal of 2560803263001 is 1003623080652.

It is a happy number.

The square root of 2560803263001 is 1600251.

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

2560803263001 is a `hidden beast` number, since 2 + 560 + 8 + 0 + 32 + 63 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 2560803263001 - 2¹ = 2560803262999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2560803263009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 148814740 + ... + 148831946.

Almost surely, 2^{2560803263001} is an apocalyptic number.

2560803263001 is the 1600251-st square number.

2560803263001 is the 800126-th centered octagonal number.

It is an amenable number.

2560803263001 is a deficient number, since it is larger than the sum of its proper divisors (1261526554812).

2560803263001 is an frugal number, since it uses more digits than its factorization.

2560803263001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34482 (or 17241 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 2560803263001 by its sum of digits (36), we get a square (92188917468036 = 9601506²).

The spelling of 2560803263001 in words is "two trillion, five hundred sixty billion, eight hundred three million, two hundred sixty-three thousand, one".