75731213757 has 16 divisors (see below), whose sum is σ = 103728000512. Its totient is φ = 49111583040.

The previous prime is 75731213689. The next prime is 75731213759.

75731213757 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75731213757 - 2¹⁶ = 75731148221 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75731213759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416907 + ... + 570327.

It is an arithmetic number, because the mean of its divisors is an integer number (6483000032).

Almost surely, 2^75731213757 is an apocalyptic number.

It is an amenable number.

75731213757 is a deficient number, since it is larger than the sum of its proper divisors (27996786755).

75731213757 is a wasteful number, since it uses less digits than its factorization.

75731213757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157908.

The product of its digits is 1080450, while the sum is 48.

The spelling of 75731213757 in words is "seventy-five billion, seven hundred thirty-one million, two hundred thirteen thousand, seven hundred fifty-seven".