2555431003251 has 64 divisors (see below), whose sum is σ = 4333253017600. Its totient is φ = 1458021485088.

The previous prime is 2555431003249. The next prime is 2555431003261. The reversal of 2555431003251 is 1523001345552.

2555431003251 is a `hidden beast` number, since 2 + 5 + 5 + 543 + 100 + 3 + 2 + 5 + 1 = 666.

It is not a de Polignac number, because 2555431003251 - 2¹ = 2555431003249 is a prime.

It is a super-2 number, since 2×2555431003251² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2555431003211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 602267736 + ... + 602271978.

It is an arithmetic number, because the mean of its divisors is an integer number (67707078400).

Almost surely, 2^{2555431003251} is an apocalyptic number.

2555431003251 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2555431003251 is a deficient number, since it is larger than the sum of its proper divisors (1777822014349).

2555431003251 is a wasteful number, since it uses less digits than its factorization.

2555431003251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8365 (or 8359 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 2555431003251 in words is "two trillion, five hundred fifty-five billion, four hundred thirty-one million, three thousand, two hundred fifty-one".