415012561 has 2 divisors, whose sum is σ = 415012562. Its totient is φ = 415012560.

The previous prime is 415012541. The next prime is 415012597. The reversal of 415012561 is 165210514.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 413878336 + 1134225 = 20344^2 + 1065^2 .

It is a cyclic number.

It is not a de Polignac number, because 415012561 - 2¹⁵ = 414979793 is a prime.

It is a super-3 number, since 3×415012561³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (415012541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207506280 + 207506281.

It is an arithmetic number, because the mean of its divisors is an integer number (207506281).

Almost surely, 2^415012561 is an apocalyptic number.

It is an amenable number.

415012561 is a deficient number, since it is larger than the sum of its proper divisors (1).

415012561 is an equidigital number, since it uses as much as digits as its factorization.

415012561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 415012561 is about 20371.8570827502. The cubic root of 415012561 is about 745.9111180514.

The spelling of 415012561 in words is "four hundred fifteen million, twelve thousand, five hundred sixty-one".