100040513 has 2 divisors, whose sum is σ = 100040514. Its totient is φ = 100040512.

The previous prime is 100040509. The next prime is 100040519. The reversal of 100040513 is 315040001.

100040513 = 7072² + 7073².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50027329 + 50013184 = 7073^2 + 7072^2 .

It is a cyclic number.

It is not a de Polignac number, because 100040513 - 2² = 100040509 is a prime.

It is not a weakly prime, because it can be changed into another prime (100040519) by changing a digit.

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 as a sum of consecutive naturals, namely, 50020256 + 50020257.

It is an arithmetic number, because the mean of its divisors is an integer number (50020257).

Almost surely, 2^100040513 is an apocalyptic number.

100040513 is the 7073-rd centered square number.

It is an amenable number.

100040513 is a deficient number, since it is larger than the sum of its proper divisors (1).

100040513 is an equidigital number, since it uses as much as digits as its factorization.

100040513 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 100040513 is about 10002.0254448787. The cubic root of 100040513 is about 464.2215564613.

Adding to 100040513 its reverse (315040001), we get a palindrome (415080514).

The spelling of 100040513 in words is "one hundred million, forty thousand, five hundred thirteen".