51412125100 has 144 divisors (see below), whose sum is σ = 132225912000. Its totient is φ = 16976977920.

The previous prime is 51412125073. The next prime is 51412125133. The reversal of 51412125100 is 152121415.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8786976 + ... + 8792824.

It is an arithmetic number, because the mean of its divisors is an integer number (918235500).

Almost surely, 2^51412125100 is an apocalyptic number.

51412125100 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 51412125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66112956000).

51412125100 is an abundant number, since it is smaller than the sum of its proper divisors (80813786900).

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

51412125100 is a wasteful number, since it uses less digits than its factorization.

51412125100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6332 (or 6325 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 51412125100 its reverse (152121415), we get a palindrome (51564246515).

The spelling of 51412125100 in words is "fifty-one billion, four hundred twelve million, one hundred twenty-five thousand, one hundred".