51506056110 has 64 divisors (see below), whose sum is σ = 125406973440. Its totient is φ = 13535948160.

The previous prime is 51506056099. The next prime is 51506056117. The reversal of 51506056110 is 1165060515.

51506056110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51506056117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9239284 + ... + 9244856.

It is an arithmetic number, because the mean of its divisors is an integer number (1959483960).

Almost surely, 2^51506056110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51506056110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62703486720).

51506056110 is an abundant number, since it is smaller than the sum of its proper divisors (73900917330).

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

51506056110 is a wasteful number, since it uses less digits than its factorization.

51506056110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9993.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 51506056110 in words is "fifty-one billion, five hundred six million, fifty-six thousand, one hundred ten".