385034999957 has 2 divisors, whose sum is σ = 385034999958. Its totient is φ = 385034999956.

The previous prime is 385034999861. The next prime is 385035000011. The reversal of 385034999957 is 759999430583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 381595294756 + 3439705201 = 617734^2 + 58649^2 .

It is an emirp because it is prime and its reverse (759999430583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 385034999957 - 2¹⁴ = 385034983573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (385034995957) 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 as a sum of consecutive naturals, namely, 192517499978 + 192517499979.

It is an arithmetic number, because the mean of its divisors is an integer number (192517499979).

Almost surely, 2^385034999957 is an apocalyptic number.

It is an amenable number.

385034999957 is a deficient number, since it is larger than the sum of its proper divisors (1).

385034999957 is an equidigital number, since it uses as much as digits as its factorization.

385034999957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 330674400, while the sum is 71.

The spelling of 385034999957 in words is "three hundred eighty-five billion, thirty-four million, nine hundred ninety-nine thousand, nine hundred fifty-seven".