51180961727649 has 32 divisors (see below), whose sum is σ = 77359218832000. Its totient is φ = 29838031119360.

The previous prime is 51180961727591. The next prime is 51180961727677. The reversal of 51180961727649 is 94672716908115.

It is not a de Polignac number, because 51180961727649 - 2⁷ = 51180961727521 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51180961727649.

It is not an unprimeable number, because it can be changed into a prime (51180961727849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112069929 + ... + 112525689.

It is an arithmetic number, because the mean of its divisors is an integer number (2417475588500).

Almost surely, 2^{51180961727649} is an apocalyptic number.

It is an amenable number.

51180961727649 is a deficient number, since it is larger than the sum of its proper divisors (26178257104351).

51180961727649 is a wasteful number, since it uses less digits than its factorization.

51180961727649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607345.

The product of its (nonzero) digits is 45722880, while the sum is 66.

The spelling of 51180961727649 in words is "fifty-one trillion, one hundred eighty billion, nine hundred sixty-one million, seven hundred twenty-seven thousand, six hundred forty-nine".