51958392319089 has 21 divisors (see below), whose sum is σ = 77902243521609. Its totient is φ = 34638798464820.

The previous prime is 51958392319087. The next prime is 51958392319153. The reversal of 51958392319089 is 98091329385915.

The square root of 51958392319089 is 7208217.

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

51958392319089 is a `hidden beast` number, since 5 + 1 + 9 + 583 + 9 + 2 + 31 + 9 + 0 + 8 + 9 = 666.

It is not a de Polignac number, because 51958392319089 - 2¹ = 51958392319087 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51958392319087) 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 20 ways as a sum of consecutive naturals, for example, 194488374 + ... + 194755344.

Almost surely, 2^{51958392319089} is an apocalyptic number.

51958392319089 is the 7208217-th square number.

51958392319089 is the 3604109-th centered octagonal number.

It is an amenable number.

51958392319089 is a deficient number, since it is larger than the sum of its proper divisors (25943851202520).

51958392319089 is an frugal number, since it uses more digits than its factorization.

51958392319089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533960 (or 266974 counting only the distinct ones).

The product of its (nonzero) digits is 188956800, while the sum is 72.

The spelling of 51958392319089 in words is "fifty-one trillion, nine hundred fifty-eight billion, three hundred ninety-two million, three hundred nineteen thousand, eighty-nine".