415012541 has 2 divisors, whose sum is σ = 415012542. Its totient is φ = 415012540.

The previous prime is 415012487. The next prime is 415012561. The reversal of 415012541 is 145210514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 393427225 + 21585316 = 19835^2 + 4646^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-415012541 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415012561) 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, 207506270 + 207506271.

It is an arithmetic number, because the mean of its divisors is an integer number (207506271).

Almost surely, 2^415012541 is an apocalyptic number.

It is an amenable number.

415012541 is a deficient number, since it is larger than the sum of its proper divisors (1).

415012541 is an equidigital number, since it uses as much as digits as its factorization.

415012541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 415012541 is about 20371.8565918769. The cubic root of 415012541 is about 745.9111060693.

The spelling of 415012541 in words is "four hundred fifteen million, twelve thousand, five hundred forty-one".