51418419361 has 16 divisors (see below), whose sum is σ = 52554949200. Its totient is φ = 50295168000.

The previous prime is 51418419341. The next prime is 51418419391. The reversal of 51418419361 is 16391481415.

51418419361 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 8 ways, for example, as 13595560000 + 37822859361 = 116600^2 + 194481^2 .

It is a 6-Lehmer number, since φ(51418419361) divides (51418419361-1)⁶.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51418419361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51418419341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20394781 + ... + 20397301.

It is an arithmetic number, because the mean of its divisors is an integer number (3284684325).

Almost surely, 2^51418419361 is an apocalyptic number.

51418419361 is the 101409-th centered decagonal number.

It is an amenable number.

51418419361 is a deficient number, since it is larger than the sum of its proper divisors (1136529839).

51418419361 is a wasteful number, since it uses less digits than its factorization.

51418419361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980.

The product of its digits is 103680, while the sum is 43.

The spelling of 51418419361 in words is "fifty-one billion, four hundred eighteen million, four hundred nineteen thousand, three hundred sixty-one".