413065541 has 12 divisors (see below), whose sum is σ = 508770828. Its totient is φ = 333228672.

The previous prime is 413065493. The next prime is 413065547. The reversal of 413065541 is 145560314.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 327429025 + 85636516 = 18095^2 + 9254^2 .

It is not a de Polignac number, because 413065541 - 2²² = 408871237 is a prime.

It is a super-3 number, since 3×413065541³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413065547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247106 + ... + 248771.

It is an arithmetic number, because the mean of its divisors is an integer number (42397569).

Almost surely, 2^413065541 is an apocalyptic number.

It is an amenable number.

413065541 is a deficient number, since it is larger than the sum of its proper divisors (95705287).

413065541 is a wasteful number, since it uses less digits than its factorization.

413065541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495908 (or 495901 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 413065541 is about 20324.0138998181. The cubic root of 413065541 is about 744.7428152998.

The spelling of 413065541 in words is "four hundred thirteen million, sixty-five thousand, five hundred forty-one".