2560829465251 has 8 divisors (see below), whose sum is σ = 2649151792800. Its totient is φ = 2472508328640.

The previous prime is 2560829465191. The next prime is 2560829465261. The reversal of 2560829465251 is 1525649280652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2560829465251 - 2²³ = 2560821076643 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2560829465192 and 2560829465201.

It is not an unprimeable number, because it can be changed into a prime (2560829465261) 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 7 ways as a sum of consecutive naturals, for example, 7946911 + ... + 8262871.

It is an arithmetic number, because the mean of its divisors is an integer number (331143974100).

Almost surely, 2^{2560829465251} is an apocalyptic number.

2560829465251 is a deficient number, since it is larger than the sum of its proper divisors (88322327549).

2560829465251 is a wasteful number, since it uses less digits than its factorization.

2560829465251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595469.

The product of its (nonzero) digits is 10368000, while the sum is 55.

The spelling of 2560829465251 in words is "two trillion, five hundred sixty billion, eight hundred twenty-nine million, four hundred sixty-five thousand, two hundred fifty-one".