51420186199369 has 81 divisors (see below), whose sum is σ = 60124158487071. Its totient is φ = 43947172039680.

The previous prime is 51420186199363. The next prime is 51420186199387. The reversal of 51420186199369 is 96399168102415.

The square root of 51420186199369 is 7170787.

It is a perfect power (a square), and thus also a powerful number.

51420186199369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 10613488887225 + 40806697312144 = 3257835^2 + 6388012^2 .

It is not a de Polignac number, because 51420186199369 - 2¹⁹ = 51420185675081 is a prime.

It is a super-2 number, since 2×51420186199369² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51420186199369.

It is not an unprimeable number, because it can be changed into a prime (51420186199363) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 112516818589 + ... + 112516819045.

Almost surely, 2^{51420186199369} is an apocalyptic number.

51420186199369 is the 7170787-th square number.

51420186199369 is the 3585394-th centered octagonal number.

It is an amenable number.

51420186199369 is a deficient number, since it is larger than the sum of its proper divisors (8703972287702).

51420186199369 is an frugal number, since it uses more digits than its factorization.

51420186199369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 64.

The spelling of 51420186199369 in words is "fifty-one trillion, four hundred twenty billion, one hundred eighty-six million, one hundred ninety-nine thousand, three hundred sixty-nine".