385752073313 has 2 divisors, whose sum is σ = 385752073314. Its totient is φ = 385752073312.

The previous prime is 385752073297. The next prime is 385752073337. The reversal of 385752073313 is 313370257583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 271583772769 + 114168300544 = 521137^2 + 337888^2 .

It is a cyclic number.

It is not a de Polignac number, because 385752073313 - 2⁴ = 385752073297 is a prime.

It is not a weakly prime, because it can be changed into another prime (385752073373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192876036656 + 192876036657.

It is an arithmetic number, because the mean of its divisors is an integer number (192876036657).

Almost surely, 2^385752073313 is an apocalyptic number.

It is an amenable number.

385752073313 is a deficient number, since it is larger than the sum of its proper divisors (1).

385752073313 is an equidigital number, since it uses as much as digits as its factorization.

385752073313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1587600, while the sum is 47.

The spelling of 385752073313 in words is "three hundred eighty-five billion, seven hundred fifty-two million, seventy-three thousand, three hundred thirteen".