51002010024 has 128 divisors (see below), whose sum is σ = 149395034880. Its totient is φ = 14205081600.

The previous prime is 51002010013. The next prime is 51002010043. The reversal of 51002010024 is 42001020015.

It is a junction number, because it is equal to n+sod(n) for n = 51002009985 and 51002010012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11989882 + ... + 11994134.

It is an arithmetic number, because the mean of its divisors is an integer number (1167148710).

Almost surely, 2^51002010024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51002010024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74697517440).

51002010024 is an abundant number, since it is smaller than the sum of its proper divisors (98393024856).

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

51002010024 is a wasteful number, since it uses less digits than its factorization.

51002010024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6051 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 51002010024 its reverse (42001020015), we get a palindrome (93003030039).

Subtracting from 51002010024 its reverse (42001020015), we obtain a palindrome (9000990009).

The spelling of 51002010024 in words is "fifty-one billion, two million, ten thousand, twenty-four".