51522545205100 has 72 divisors (see below), whose sum is σ = 115239081445488. Its totient is φ = 19982805964800.

The previous prime is 51522545205071. The next prime is 51522545205133. The reversal of 51522545205100 is 150254522515.

51522545205100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51522545205100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43140781 + ... + 44318980.

It is an arithmetic number, because the mean of its divisors is an integer number (1600542797854).

Almost surely, 2^{51522545205100} is an apocalyptic number.

51522545205100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51522545205100 is an abundant number, since it is smaller than the sum of its proper divisors (63716536240388).

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

51522545205100 is a wasteful number, since it uses less digits than its factorization.

51522545205100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87459955 (or 87459948 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 37.

Adding to 51522545205100 its reverse (150254522515), we get a palindrome (51672799727615).

The spelling of 51522545205100 in words is "fifty-one trillion, five hundred twenty-two billion, five hundred forty-five million, two hundred five thousand, one hundred".