205002013 has 8 divisors (see below), whose sum is σ = 214619328. Its totient is φ = 195443424.

The previous prime is 205001981. The next prime is 205002037. The reversal of 205002013 is 310200502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205002013 - 2⁵ = 205001981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205001984 and 205002002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205002043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7456 + ... + 21577.

It is an arithmetic number, because the mean of its divisors is an integer number (26827416).

Almost surely, 2^205002013 is an apocalyptic number.

205002013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

205002013 is a deficient number, since it is larger than the sum of its proper divisors (9617315).

205002013 is a wasteful number, since it uses less digits than its factorization.

205002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29363.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 205002013 is about 14317.8913601131. The cubic root of 205002013 is about 589.6387839728.

Adding to 205002013 its reverse (310200502), we get a palindrome (515202515).

The spelling of 205002013 in words is "two hundred five million, two thousand, thirteen".