205010007 has 16 divisors (see below), whose sum is σ = 281275392. Its totient is φ = 132723360.

The previous prime is 205009993. The next prime is 205010009. The reversal of 205010007 is 700010502.

It is a happy number.

It is not a de Polignac number, because 205010007 - 2⁴ = 205009991 is a prime.

It is a congruent number.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68578 + ... + 71504.

It is an arithmetic number, because the mean of its divisors is an integer number (17579712).

Almost surely, 2^205010007 is an apocalyptic number.

205010007 is a deficient number, since it is larger than the sum of its proper divisors (76265385).

205010007 is a wasteful number, since it uses less digits than its factorization.

205010007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 205010007 is about 14318.1705186103. The cubic root of 205010007 is about 589.6464481434.

Adding to 205010007 its reverse (700010502), we get a palindrome (905020509).

The spelling of 205010007 in words is "two hundred five million, ten thousand, seven".