385133501 has 2 divisors, whose sum is σ = 385133502. Its totient is φ = 385133500.

The previous prime is 385133479. The next prime is 385133537. The reversal of 385133501 is 105331583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204204100 + 180929401 = 14290^2 + 13451^2 .

It is a cyclic number.

It is not a de Polignac number, because 385133501 - 2²² = 380939197 is a prime.

It is equal to p_20585162 and since 385133501 and 20585162 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (385139501) 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, 192566750 + 192566751.

It is an arithmetic number, because the mean of its divisors is an integer number (192566751).

Almost surely, 2^385133501 is an apocalyptic number.

It is an amenable number.

385133501 is a deficient number, since it is larger than the sum of its proper divisors (1).

385133501 is an equidigital number, since it uses as much as digits as its factorization.

385133501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 385133501 is about 19624.8184959760. The cubic root of 385133501 is about 727.5627109846.

The spelling of 385133501 in words is "three hundred eighty-five million, one hundred thirty-three thousand, five hundred one".