51511010000 has 100 divisors (see below), whose sum is σ = 125950561044. Its totient is φ = 20400000000.

The previous prime is 51511009969. The next prime is 51511010011. The reversal of 51511010000 is 1011515.

It can be written as a sum of positive squares in 10 ways, for example, as 16965583504 + 34545426496 = 130252^2 + 185864^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 984500 + ... + 1035500.

Almost surely, 2^51511010000 is an apocalyptic number.

51511010000 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 51511010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62975280522).

51511010000 is an abundant number, since it is smaller than the sum of its proper divisors (74439551044).

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

51511010000 is a wasteful number, since it uses less digits than its factorization.

51511010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51130 (or 51109 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 51511010000 its reverse (1011515), we get a palindrome (51512021515).

The spelling of 51511010000 in words is "fifty-one billion, five hundred eleven million, ten thousand".