51100505505 has 64 divisors (see below), whose sum is σ = 105525388800. Its totient is φ = 22977250560.

The previous prime is 51100505501. The next prime is 51100505509. The reversal of 51100505505 is 50550500115.

51100505505 is a `hidden beast` number, since 5 + 1 + 100 + 5 + 0 + 550 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (51100505501) and next prime (51100505509).

It is not a de Polignac number, because 51100505505 - 2² = 51100505501 is a prime.

It is a super-2 number, since 2×51100505505² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51100505501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385590 + ... + 500879.

It is an arithmetic number, because the mean of its divisors is an integer number (1648834200).

Almost surely, 2^51100505505 is an apocalyptic number.

It is an amenable number.

51100505505 is an abundant number, since it is smaller than the sum of its proper divisors (54424883295).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51100505505 is a wasteful number, since it uses less digits than its factorization.

51100505505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886551 (or 886545 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 51100505505 in words is "fifty-one billion, one hundred million, five hundred five thousand, five hundred five".