51420071466841 has 81 divisors (see below), whose sum is σ = 68747111338143. Its totient is φ = 38316053677440.

The previous prime is 51420071466823. The next prime is 51420071466851. The reversal of 51420071466841 is 14866417002415.

The square root of 51420071466841 is 7170779.

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

It can be written as a sum of positive squares in only one way, i.e., 12558312900441 + 38861758566400 = 3543771^2 + 6233920^2 .

It is not a de Polignac number, because 51420071466841 - 2⁵ = 51420071466809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (51420071466851) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12699447585 + ... + 12699451633.

Almost surely, 2^{51420071466841} is an apocalyptic number.

51420071466841 is the 7170779-th square number.

51420071466841 is the 3585390-th centered octagonal number.

It is an amenable number.

51420071466841 is a deficient number, since it is larger than the sum of its proper divisors (17327039871302).

51420071466841 is an frugal number, since it uses more digits than its factorization.

51420071466841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8180 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

51420071466841 divided by its sum of digits (49) gives a square (1049389213609 = 1024397²).

The spelling of 51420071466841 in words is "fifty-one trillion, four hundred twenty billion, seventy-one million, four hundred sixty-six thousand, eight hundred forty-one".