414528133 has 2 divisors, whose sum is σ = 414528134. Its totient is φ = 414528132.

The previous prime is 414528097. The next prime is 414528137. The reversal of 414528133 is 331825414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 381889764 + 32638369 = 19542^2 + 5713^2 .

It is a cyclic number.

It is not a de Polignac number, because 414528133 - 2⁹ = 414527621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414528095 and 414528104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414528137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207264066 + 207264067.

It is an arithmetic number, because the mean of its divisors is an integer number (207264067).

Almost surely, 2^414528133 is an apocalyptic number.

It is an amenable number.

414528133 is a deficient number, since it is larger than the sum of its proper divisors (1).

414528133 is an equidigital number, since it uses as much as digits as its factorization.

414528133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11520, while the sum is 31.

The square root of 414528133 is about 20359.9639734455. The cubic root of 414528133 is about 745.6207807226.

The spelling of 414528133 in words is "four hundred fourteen million, five hundred twenty-eight thousand, one hundred thirty-three".