51842800824815 has 64 divisors (see below), whose sum is σ = 83839057827840. Its totient is φ = 29720722659840.

The previous prime is 51842800824811. The next prime is 51842800824817.

51842800824815 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51842800824815 - 2² = 51842800824811 is a prime.

It is a super-2 number, since 2×51842800824815² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51842800824811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17906819 + ... + 20599508.

It is an arithmetic number, because the mean of its divisors is an integer number (1309985278560).

Almost surely, 2^{51842800824815} is an apocalyptic number.

51842800824815 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51842800824815 is a deficient number, since it is larger than the sum of its proper divisors (31996257003025).

51842800824815 is a wasteful number, since it uses less digits than its factorization.

51842800824815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38506632.

The product of its (nonzero) digits is 6553600, while the sum is 56.

The spelling of 51842800824815 in words is "fifty-one trillion, eight hundred forty-two billion, eight hundred million, eight hundred twenty-four thousand, eight hundred fifteen".