415325201 has 2 divisors, whose sum is σ = 415325202. Its totient is φ = 415325200.

The previous prime is 415325173. The next prime is 415325219. The reversal of 415325201 is 102523514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207936400 + 207388801 = 14420^2 + 14401^2 .

It is a cyclic number.

It is not a de Polignac number, because 415325201 - 2⁶ = 415325137 is a prime.

It is not a weakly prime, because it can be changed into another prime (415325291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207662600 + 207662601.

It is an arithmetic number, because the mean of its divisors is an integer number (207662601).

Almost surely, 2^415325201 is an apocalyptic number.

It is an amenable number.

415325201 is a deficient number, since it is larger than the sum of its proper divisors (1).

415325201 is an equidigital number, since it uses as much as digits as its factorization.

415325201 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 23.

The square root of 415325201 is about 20379.5289690415. The cubic root of 415325201 is about 746.0983759317.

Adding to 415325201 its reverse (102523514), we get a palindrome (517848715).

The spelling of 415325201 in words is "four hundred fifteen million, three hundred twenty-five thousand, two hundred one".