1005231413 has 2 divisors, whose sum is σ = 1005231414. Its totient is φ = 1005231412.

The previous prime is 1005231361. The next prime is 1005231427. The reversal of 1005231413 is 3141325001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 610732369 + 394499044 = 24713^2 + 19862^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005231413 - 2¹⁰ = 1005230389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005231473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502615706 + 502615707.

It is an arithmetic number, because the mean of its divisors is an integer number (502615707).

Almost surely, 2^1005231413 is an apocalyptic number.

It is an amenable number.

1005231413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005231413 is an equidigital number, since it uses as much as digits as its factorization.

1005231413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1005231413 is about 31705.3846057732. The cubic root of 1005231413 is about 1001.7407722868.

Adding to 1005231413 its reverse (3141325001), we get a palindrome (4146556414).

The spelling of 1005231413 in words is "one billion, five million, two hundred thirty-one thousand, four hundred thirteen".