51012263100 has 144 divisors (see below), whose sum is σ = 154243127808. Its totient is φ = 13004060160.

The previous prime is 51012263077. The next prime is 51012263177. The reversal of 51012263100 is 136221015.

51012263100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51012263100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 564232 + ... + 648368.

It is an arithmetic number, because the mean of its divisors is an integer number (1071132832).

Almost surely, 2^51012263100 is an apocalyptic number.

51012263100 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 51012263100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77121563904).

51012263100 is an abundant number, since it is smaller than the sum of its proper divisors (103230864708).

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

51012263100 is a wasteful number, since it uses less digits than its factorization.

51012263100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84244 (or 84237 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 51012263100 its reverse (136221015), we get a palindrome (51148484115).

The spelling of 51012263100 in words is "fifty-one billion, twelve million, two hundred sixty-three thousand, one hundred".