51506577917 has 12 divisors (see below), whose sum is σ = 54746704596. Its totient is φ = 48448335360.

The previous prime is 51506577911. The next prime is 51506577923. The reversal of 51506577917 is 71977560515.

It is an interprime number because it is at equal distance from previous prime (51506577911) and next prime (51506577923).

It can be written as a sum of positive squares in 6 ways, for example, as 16164833881 + 35341744036 = 127141^2 + 187994^2 .

It is not a de Polignac number, because 51506577917 - 2⁶ = 51506577853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51506577911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 449417 + ... + 552257.

It is an arithmetic number, because the mean of its divisors is an integer number (4562225383).

Almost surely, 2^51506577917 is an apocalyptic number.

It is an amenable number.

51506577917 is a deficient number, since it is larger than the sum of its proper divisors (3240126679).

51506577917 is a wasteful number, since it uses less digits than its factorization.

51506577917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104608 (or 104591 counting only the distinct ones).

The product of its (nonzero) digits is 2315250, while the sum is 53.

The spelling of 51506577917 in words is "fifty-one billion, five hundred six million, five hundred seventy-seven thousand, nine hundred seventeen".