1005110413 has 2 divisors, whose sum is σ = 1005110414. Its totient is φ = 1005110412.

The previous prime is 1005110401. The next prime is 1005110429. The reversal of 1005110413 is 3140115001.

It is an a-pointer prime, because the next prime (1005110429) can be obtained adding 1005110413 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 993699529 + 11410884 = 31523^2 + 3378^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005110413 - 2⁹ = 1005109901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005110213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502555206 + 502555207.

It is an arithmetic number, because the mean of its divisors is an integer number (502555207).

Almost surely, 2^1005110413 is an apocalyptic number.

It is an amenable number.

1005110413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005110413 is an equidigital number, since it uses as much as digits as its factorization.

1005110413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1005110413 is about 31703.4763551255. The cubic root of 1005110413 is about 1001.7005773972.

Adding to 1005110413 its reverse (3140115001), we get a palindrome (4145225414).

The spelling of 1005110413 in words is "one billion, five million, one hundred ten thousand, four hundred thirteen".