51506106000 has 80 divisors (see below), whose sum is σ = 166055705088. Its totient is φ = 13734960000.

The previous prime is 51506105983. The next prime is 51506106073. The reversal of 51506106000 is 60160515.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4286176 + ... + 4298175.

Almost surely, 2^51506106000 is an apocalyptic number.

51506106000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51506106000 is an abundant number, since it is smaller than the sum of its proper divisors (114549599088).

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

51506106000 is a wasteful number, since it uses less digits than its factorization.

51506106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8584377 (or 8584361 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 51506106000 its reverse (60160515), we get a palindrome (51566266515).

The spelling of 51506106000 in words is "fifty-one billion, five hundred six million, one hundred six thousand".