2560544253 has 48 divisors (see below), whose sum is σ = 4072798080. Its totient is φ = 1542955392.

The previous prime is 2560544249. The next prime is 2560544279. The reversal of 2560544253 is 3524450652.

2560544253 is a `hidden beast` number, since 2 + 5 + 60 + 544 + 2 + 53 = 666.

It is not a de Polignac number, because 2560544253 - 2² = 2560544249 is a prime.

It is a super-3 number, since 3×2560544253³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560544153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2567751 + ... + 2568747.

It is an arithmetic number, because the mean of its divisors is an integer number (84849960).

Almost surely, 2^2560544253 is an apocalyptic number.

2560544253 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2560544253 is a deficient number, since it is larger than the sum of its proper divisors (1512253827).

2560544253 is a wasteful number, since it uses less digits than its factorization.

2560544253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 2560544253 is about 50601.8206490636. The cubic root of 2560544253 is about 1368.0776941741.

The spelling of 2560544253 in words is "two billion, five hundred sixty million, five hundred forty-four thousand, two hundred fifty-three".