1010413205 has 16 divisors (see below), whose sum is σ = 1246491504. Its totient is φ = 785710080.

The previous prime is 1010413031. The next prime is 1010413249. The reversal of 1010413205 is 5023140101.

It can be written as a sum of positive squares in 8 ways, for example, as 26399044 + 984014161 = 5138^2 + 31369^2 .

It is not a de Polignac number, because 1010413205 - 2¹² = 1010409109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249779 + ... + 253791.

It is an arithmetic number, because the mean of its divisors is an integer number (77905719).

Almost surely, 2^1010413205 is an apocalyptic number.

It is an amenable number.

1010413205 is a deficient number, since it is larger than the sum of its proper divisors (236078299).

1010413205 is a wasteful number, since it uses less digits than its factorization.

1010413205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5416.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1010413205 is about 31786.9974203290. The cubic root of 1010413205 is about 1003.4590892386.

Adding to 1010413205 its reverse (5023140101), we get a palindrome (6033553306).

The spelling of 1010413205 in words is "one billion, ten million, four hundred thirteen thousand, two hundred five".