1005400013 has 2 divisors, whose sum is σ = 1005400014. Its totient is φ = 1005400012.

The previous prime is 1005400007. The next prime is 1005400021. The reversal of 1005400013 is 3100045001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 853691524 + 151708489 = 29218^2 + 12317^2 .

It is an emirp because it is prime and its reverse (3100045001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005400013 - 2⁶ = 1005399949 is a prime.

It is a super-2 number, since 2×1005400013² = 2021658372280800338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005400003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502700006 + 502700007.

It is an arithmetic number, because the mean of its divisors is an integer number (502700007).

Almost surely, 2^1005400013 is an apocalyptic number.

It is an amenable number.

1005400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005400013 is an equidigital number, since it uses as much as digits as its factorization.

1005400013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1005400013 is about 31708.0433486521. The cubic root of 1005400013 is about 1001.7967740029.

Adding to 1005400013 its reverse (3100045001), we get a palindrome (4105445014).

The spelling of 1005400013 in words is "one billion, five million, four hundred thousand, thirteen".