51005541477 has 64 divisors (see below), whose sum is σ = 81357696000. Its totient is φ = 28086105600.

The previous prime is 51005541443. The next prime is 51005541529. The reversal of 51005541477 is 77414550015.

It is not a de Polignac number, because 51005541477 - 2⁶ = 51005541413 is a prime.

It is a super-2 number, since 2×51005541477² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51005541427) 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 63 ways as a sum of consecutive naturals, for example, 1499899 + ... + 1533527.

It is an arithmetic number, because the mean of its divisors is an integer number (1271214000).

Almost surely, 2^51005541477 is an apocalyptic number.

51005541477 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

51005541477 is a deficient number, since it is larger than the sum of its proper divisors (30352154523).

51005541477 is a wasteful number, since it uses less digits than its factorization.

51005541477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33762.

The product of its (nonzero) digits is 98000, while the sum is 39.

The spelling of 51005541477 in words is "fifty-one billion, five million, five hundred forty-one thousand, four hundred seventy-seven".