51142411424115 has 96 divisors (see below), whose sum is σ = 102436623297216. Its totient is φ = 23328048660480.

The previous prime is 51142411424107. The next prime is 51142411424171.

51142411424115 is a `hidden beast` number, since 5 + 1 + 1 + 424 + 114 + 2 + 4 + 115 = 666.

51142411424115 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51142411424115 - 2³ = 51142411424107 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51142411424115.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19081809 + ... + 21596301.

It is an arithmetic number, because the mean of its divisors is an integer number (1067048159346).

Almost surely, 2^{51142411424115} is an apocalyptic number.

51142411424115 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51142411424115 is an abundant number, since it is smaller than the sum of its proper divisors (51294211873101).

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

51142411424115 is a wasteful number, since it uses less digits than its factorization.

51142411424115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516949 (or 2516946 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

It can be divided in two parts, 5114241 and 1424115, that added together give a palindrome (6538356).

The spelling of 51142411424115 in words is "fifty-one trillion, one hundred forty-two billion, four hundred eleven million, four hundred twenty-four thousand, one hundred fifteen".