51001320005100 has 216 divisors, whose sum is σ = 162895957241472. Its totient is φ = 13342192281600.

The previous prime is 51001320005089. The next prime is 51001320005113. The reversal of 51001320005100 is 150002310015.

It is a super-2 number, since 2×51001320005100² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 444077284 + ... + 444192116.

It is an arithmetic number, because the mean of its divisors is an integer number (754147950192).

Almost surely, 2^{51001320005100} is an apocalyptic number.

51001320005100 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 51001320005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81447978620736).

51001320005100 is an abundant number, since it is smaller than the sum of its proper divisors (111894637236372).

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

51001320005100 is a wasteful number, since it uses less digits than its factorization.

51001320005100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124217 (or 124207 counting only the distinct ones).

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

Adding to 51001320005100 its reverse (150002310015), we get a palindrome (51151322315115).

The spelling of 51001320005100 in words is "fifty-one trillion, one billion, three hundred twenty million, five thousand, one hundred".