57958106329 has 2 divisors, whose sum is σ = 57958106330. Its totient is φ = 57958106328.

The previous prime is 57958106263. The next prime is 57958106389. The reversal of 57958106329 is 92360185975.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48687305104 + 9270801225 = 220652^2 + 96285^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57958106329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57958106329.

It is not a weakly prime, because it can be changed into another prime (57958106389) 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 as a sum of consecutive naturals, namely, 28979053164 + 28979053165.

It is an arithmetic number, because the mean of its divisors is an integer number (28979053165).

Almost surely, 2^57958106329 is an apocalyptic number.

It is an amenable number.

57958106329 is a deficient number, since it is larger than the sum of its proper divisors (1).

57958106329 is an equidigital number, since it uses as much as digits as its factorization.

57958106329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 57958106329 in words is "fifty-seven billion, nine hundred fifty-eight million, one hundred six thousand, three hundred twenty-nine".