385353601 has 2 divisors, whose sum is σ = 385353602. Its totient is φ = 385353600.

The previous prime is 385353587. The next prime is 385353607. The reversal of 385353601 is 106353583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235315600 + 150038001 = 15340^2 + 12249^2 .

It is a cyclic number.

It is not a de Polignac number, because 385353601 - 2¹¹ = 385351553 is a prime.

It is not a weakly prime, because it can be changed into another prime (385353607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192676800 + 192676801.

It is an arithmetic number, because the mean of its divisors is an integer number (192676801).

Almost surely, 2^385353601 is an apocalyptic number.

It is an amenable number.

385353601 is a deficient number, since it is larger than the sum of its proper divisors (1).

385353601 is an equidigital number, since it uses as much as digits as its factorization.

385353601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 385353601 is about 19630.4253901947. The cubic root of 385353601 is about 727.7012828967.

The spelling of 385353601 in words is "three hundred eighty-five million, three hundred fifty-three thousand, six hundred one".