51006006100 has 108 divisors (see below), whose sum is σ = 136327704156. Its totient is φ = 16459054080.

The previous prime is 51006006059. The next prime is 51006006101. The reversal of 51006006100 is 160060015.

It can be written as a sum of positive squares in 6 ways, for example, as 4564894096 + 46441112004 = 67564^2 + 215502^2 .

It is a super-2 number, since 2×51006006100² (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 (51006006101) 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 35 ways as a sum of consecutive naturals, for example, 222859 + ... + 389458.

It is an arithmetic number, because the mean of its divisors is an integer number (1262293557).

Almost surely, 2^51006006100 is an apocalyptic number.

51006006100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51006006100 is an abundant number, since it is smaller than the sum of its proper divisors (85321698056).

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

51006006100 is a wasteful number, since it uses less digits than its factorization.

51006006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612362 (or 612348 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 51006006100 its reverse (160060015), we get a palindrome (51166066115).

The spelling of 51006006100 in words is "fifty-one billion, six million, six thousand, one hundred".