51006010055 has 128 divisors (see below), whose sum is σ = 87981465600. Its totient is φ = 27331084800.

The previous prime is 51006010037. The next prime is 51006010117. The reversal of 51006010055 is 55001060015.

It is a de Polignac number, because none of the positive numbers 2^k-51006010055 is a prime.

It is a super-2 number, since 2×51006010055² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51006010055.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5606060 + ... + 5615150.

It is an arithmetic number, because the mean of its divisors is an integer number (687355200).

Almost surely, 2^51006010055 is an apocalyptic number.

51006010055 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51006010055 is a deficient number, since it is larger than the sum of its proper divisors (36975455545).

51006010055 is a wasteful number, since it uses less digits than its factorization.

51006010055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9205.

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 51006010055 in words is "fifty-one billion, six million, ten thousand, fifty-five".