Search a number
-
+
413150561 is a prime number
BaseRepresentation
bin11000101000000…
…010110101100001
31001210102020000122
4120220002311201
51321231304221
6104555130025
713144502405
oct3050026541
91053366018
10413150561
111a223814a
12b6443915
13677971b5
143cc29105
152640eeab
hex18a02d61

413150561 has 2 divisors, whose sum is σ = 413150562. Its totient is φ = 413150560.

The previous prime is 413150537. The next prime is 413150593. The reversal of 413150561 is 165051314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 295840000 + 117310561 = 17200^2 + 10831^2 .

It is a cyclic number.

It is not a de Polignac number, because 413150561 - 218 = 412888417 is a prime.

It is a super-2 number, since 2×4131505612 = 341386772109229442, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413150561.

It is not a weakly prime, because it can be changed into another prime (413153561) 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, 206575280 + 206575281.

It is an arithmetic number, because the mean of its divisors is an integer number (206575281).

Almost surely, 2413150561 is an apocalyptic number.

It is an amenable number.

413150561 is a deficient number, since it is larger than the sum of its proper divisors (1).

413150561 is an equidigital number, since it uses as much as digits as its factorization.

413150561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 413150561 is about 20326.1054065947. The cubic root of 413150561 is about 744.7939078296.

The spelling of 413150561 in words is "four hundred thirteen million, one hundred fifty thousand, five hundred sixty-one".