51005731461 has 16 divisors (see below), whose sum is σ = 68253816000. Its totient is φ = 33880923648.

The previous prime is 51005731459. The next prime is 51005731501. The reversal of 51005731461 is 16413750015.

It is not a de Polignac number, because 51005731461 - 2¹ = 51005731459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51005732461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083390 + ... + 1129488.

It is an arithmetic number, because the mean of its divisors is an integer number (4265863500).

Almost surely, 2^51005731461 is an apocalyptic number.

It is an amenable number.

51005731461 is a deficient number, since it is larger than the sum of its proper divisors (17248084539).

51005731461 is a wasteful number, since it uses less digits than its factorization.

51005731461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47428.

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 51005731461 in words is "fifty-one billion, five million, seven hundred thirty-one thousand, four hundred sixty-one".