205010001 has 32 divisors (see below), whose sum is σ = 347873280. Its totient is φ = 116890128.

The previous prime is 205009993. The next prime is 205010009. The reversal of 205010001 is 100010502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (205009993) and next prime (205010009).

It is not a de Polignac number, because 205010001 - 2³ = 205009993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (205010009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113830 + ... + 115616.

It is an arithmetic number, because the mean of its divisors is an integer number (10871040).

Almost surely, 2^205010001 is an apocalyptic number.

205010001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

205010001 is a deficient number, since it is larger than the sum of its proper divisors (142863279).

205010001 is a wasteful number, since it uses less digits than its factorization.

205010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 205010001 is about 14318.1703090863. The cubic root of 205010001 is about 589.6464423910.

Adding to 205010001 its reverse (100010502), we get a palindrome (305020503).

The spelling of 205010001 in words is "two hundred five million, ten thousand, one".