51005000000 has 168 divisors, whose sum is σ = 127781020536. Its totient is φ = 20200000000.

The previous prime is 51004999993. The next prime is 51005000009. The reversal of 51005000000 is 50015.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 46455767296 + 4549232704 = 215536^2 + 67448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51005000009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504999950 + ... + 505000050.

Almost surely, 2^51005000000 is an apocalyptic number.

51005000000 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 51005000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63890510268).

51005000000 is an abundant number, since it is smaller than the sum of its proper divisors (76776020536).

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

51005000000 is an frugal number, since it uses more digits than its factorization.

51005000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 11.

Adding to 51005000000 its reverse (50015), we get a palindrome (51005050015).

The spelling of 51005000000 in words is "fifty-one billion, five million", and thus it is an aban number and an uban number.