75755007829 has 2 divisors, whose sum is σ = 75755007830. Its totient is φ = 75755007828.

The previous prime is 75755007709. The next prime is 75755007833. The reversal of 75755007829 is 92870055757.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53175437604 + 22579570225 = 230598^2 + 150265^2 .

It is an emirp because it is prime and its reverse (92870055757) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75755007829 is a prime.

It is a super-3 number, since 3×75755007829³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 75755007829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (75755007859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37877503914 + 37877503915.

It is an arithmetic number, because the mean of its divisors is an integer number (37877503915).

Almost surely, 2^75755007829 is an apocalyptic number.

It is an amenable number.

75755007829 is a deficient number, since it is larger than the sum of its proper divisors (1).

75755007829 is an equidigital number, since it uses as much as digits as its factorization.

75755007829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6174000, while the sum is 55.

The spelling of 75755007829 in words is "seventy-five billion, seven hundred fifty-five million, seven thousand, eight hundred twenty-nine".