2551681461 has 16 divisors (see below), whose sum is σ = 3889001088. Its totient is φ = 1457832000.

The previous prime is 2551681459. The next prime is 2551681469. The reversal of 2551681461 is 1641861552.

It is not a de Polignac number, because 2551681461 - 2¹ = 2551681459 is a prime.

It is a super-2 number, since 2×2551681461² = 13022156556822189042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551681469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176611 + ... + 190511.

It is an arithmetic number, because the mean of its divisors is an integer number (243062568).

Almost surely, 2^2551681461 is an apocalyptic number.

2551681461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2551681461 is a deficient number, since it is larger than the sum of its proper divisors (1337319627).

2551681461 is a wasteful number, since it uses less digits than its factorization.

2551681461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22652.

The product of its digits is 57600, while the sum is 39.

The square root of 2551681461 is about 50514.1708929286. The cubic root of 2551681461 is about 1366.4974306074.

The spelling of 2551681461 in words is "two billion, five hundred fifty-one million, six hundred eighty-one thousand, four hundred sixty-one".