415125181 has 2 divisors, whose sum is σ = 415125182. Its totient is φ = 415125180.

The previous prime is 415125157. The next prime is 415125187. The reversal of 415125181 is 181521514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413756281 + 1368900 = 20341^2 + 1170^2 .

It is a cyclic number.

It is not a de Polignac number, because 415125181 - 2¹¹ = 415123133 is a prime.

It is a super-3 number, since 3×415125181³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415125187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207562590 + 207562591.

It is an arithmetic number, because the mean of its divisors is an integer number (207562591).

Almost surely, 2^415125181 is an apocalyptic number.

It is an amenable number.

415125181 is a deficient number, since it is larger than the sum of its proper divisors (1).

415125181 is an equidigital number, since it uses as much as digits as its factorization.

415125181 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1600, while the sum is 28.

The square root of 415125181 is about 20374.6210026101. The cubic root of 415125181 is about 745.9785834091.

Adding to 415125181 its reverse (181521514), we get a palindrome (596646695).

The spelling of 415125181 in words is "four hundred fifteen million, one hundred twenty-five thousand, one hundred eighty-one".