51293643361 has 27 divisors (see below), whose sum is σ = 55137530259. Its totient is φ = 47713205232.

The previous prime is 51293643337. The next prime is 51293643371. The reversal of 51293643361 is 16334639215.

The square root of 51293643361 is 226481.

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., 47772407761 + 3521235600 = 218569^2 + 59340^2 .

It is not a de Polignac number, because 51293643361 - 2¹¹ = 51293641313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51293643301) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 223989595 + ... + 223989823.

Almost surely, 2^51293643361 is an apocalyptic number.

51293643361 is the 226481-st square number.

51293643361 is the 113241-st centered octagonal number.

It is an amenable number.

51293643361 is a deficient number, since it is larger than the sum of its proper divisors (3843886898).

51293643361 is an frugal number, since it uses more digits than its factorization.

51293643361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 295 counting only the distinct ones).

The product of its digits is 349920, while the sum is 43.

The spelling of 51293643361 in words is "fifty-one billion, two hundred ninety-three million, six hundred forty-three thousand, three hundred sixty-one".