51429207444993 has 48 divisors (see below), whose sum is σ = 84968637811200. Its totient is φ = 29364021348480.

The previous prime is 51429207444977. The next prime is 51429207445043. The reversal of 51429207444993 is 39944470292415.

51429207444993 is a `hidden beast` number, since 5 + 14 + 2 + 9 + 20 + 74 + 449 + 93 = 666.

It is not a de Polignac number, because 51429207444993 - 2⁴ = 51429207444977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 51429207444993.

It is not an unprimeable number, because it can be changed into a prime (51429207044993) 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 47 ways as a sum of consecutive naturals, for example, 871341823 + ... + 871400843.

It is an arithmetic number, because the mean of its divisors is an integer number (1770179954400).

Almost surely, 2^{51429207444993} is an apocalyptic number.

It is an amenable number.

51429207444993 is a deficient number, since it is larger than the sum of its proper divisors (33539430366207).

51429207444993 is a wasteful number, since it uses less digits than its factorization.

51429207444993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70142 (or 70139 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

Adding to 51429207444993 its sum of digits (63), we get a square (51429207445056 = 7171416²).

The spelling of 51429207444993 in words is "fifty-one trillion, four hundred twenty-nine billion, two hundred seven million, four hundred forty-four thousand, nine hundred ninety-three".