51745956735375 has 560 divisors, whose sum is σ = 117818751504480. Its totient is φ = 22410279007200.

The previous prime is 51745956735367. The next prime is 51745956735377. The reversal of 51745956735375 is 57353765954715.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

51745956735375 is a `hidden beast` number, since 5 + 1 + 7 + 4 + 5 + 9 + 567 + 3 + 53 + 7 + 5 = 666.

51745956735375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51745956735375 - 2³ = 51745956735367 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 51745956735375 = 4655³ + 37240³ = 13167³ + 36708³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51745956735377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 2723471407116 + ... + 2723471407134.

Almost surely, 2^{51745956735375} is an apocalyptic number.

51745956735375 is an abundant number, since it is smaller than the sum of its proper divisors (66072794769105).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51745956735375 is an frugal number, since it uses more digits than its factorization.

51745956735375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 34 counting only the distinct ones).

The product of its digits is 2083725000, while the sum is 72.

The spelling of 51745956735375 in words is "fifty-one trillion, seven hundred forty-five billion, nine hundred fifty-six million, seven hundred thirty-five thousand, three hundred seventy-five".