414515150513 has 2 divisors, whose sum is σ = 414515150514. Its totient is φ = 414515150512.

The previous prime is 414515150453. The next prime is 414515150551. The reversal of 414515150513 is 315051515414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 384856455424 + 29658695089 = 620368^2 + 172217^2 .

It is a cyclic number.

It is not a de Polignac number, because 414515150513 - 2²⁴ = 414498373297 is a prime.

It is not a weakly prime, because it can be changed into another prime (414515150563) 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, 207257575256 + 207257575257.

It is an arithmetic number, because the mean of its divisors is an integer number (207257575257).

Almost surely, 2^414515150513 is an apocalyptic number.

It is an amenable number.

414515150513 is a deficient number, since it is larger than the sum of its proper divisors (1).

414515150513 is an equidigital number, since it uses as much as digits as its factorization.

414515150513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30000, while the sum is 35.

Adding to 414515150513 its reverse (315051515414), we get a palindrome (729566665927).

The spelling of 414515150513 in words is "four hundred fourteen billion, five hundred fifteen million, one hundred fifty thousand, five hundred thirteen".