51050006100 has 216 divisors, whose sum is σ = 164262970872. Its totient is φ = 13253222400.

The previous prime is 51050006099. The next prime is 51050006101. The reversal of 51050006100 is 160005015.

51050006100 is a `hidden beast` number, since 5 + 1 + 0 + 50 + 0 + 0 + 610 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51050006099) and next prime (51050006101).

It can be written as a sum of positive squares in 12 ways, for example, as 28250214084 + 22799792016 = 168078^2 + 150996^2 .

It is a super-2 number, since 2×51050006100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51050006101) 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 71 ways as a sum of consecutive naturals, for example, 21880534 + ... + 21882866.

It is an arithmetic number, because the mean of its divisors is an integer number (760476717).

Almost surely, 2^51050006100 is an apocalyptic number.

51050006100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51050006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82131485436).

51050006100 is an abundant number, since it is smaller than the sum of its proper divisors (113212964772).

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

51050006100 is a wasteful number, since it uses less digits than its factorization.

51050006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 51050006100 in words is "fifty-one billion, fifty million, six thousand, one hundred".