1023413205 has 16 divisors (see below), whose sum is σ = 1648454400. Its totient is φ = 542155968.

The previous prime is 1023413191. The next prime is 1023413213. The reversal of 1023413205 is 5023143201.

It is not a de Polignac number, because 1023413205 - 2⁴ = 1023413189 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 226717 + ... + 231186.

It is an arithmetic number, because the mean of its divisors is an integer number (103028400).

Almost surely, 2^1023413205 is an apocalyptic number.

1023413205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1023413205 is a deficient number, since it is larger than the sum of its proper divisors (625041195).

1023413205 is a wasteful number, since it uses less digits than its factorization.

1023413205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458060.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1023413205 is about 31990.8300142400. The cubic root of 1023413205 is about 1007.7442730833.

Adding to 1023413205 its reverse (5023143201), we get a palindrome (6046556406).

The spelling of 1023413205 in words is "one billion, twenty-three million, four hundred thirteen thousand, two hundred five".