51050000064 has 168 divisors, whose sum is σ = 157709664768. Its totient is φ = 14531166720.

The previous prime is 51050000063. The next prime is 51050000069. The reversal of 51050000064 is 46000005015.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×51050000064² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (51050000063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2539557 + ... + 2559579.

Almost surely, 2^51050000064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51050000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78854832384).

51050000064 is an abundant number, since it is smaller than the sum of its proper divisors (106659664704).

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

51050000064 is a wasteful number, since it uses less digits than its factorization.

51050000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20323 (or 20306 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 51050000064 its reverse (46000005015), we get a palindrome (97050005079).

The spelling of 51050000064 in words is "fifty-one billion, fifty million, sixty-four", and thus it is an aban number.