531413217 has 40 divisors (see below), whose sum is σ = 849080232. Its totient is φ = 330048000.

The previous prime is 531413189. The next prime is 531413219. The reversal of 531413217 is 712314135.

531413217 is a `hidden beast` number, since 5 + 31 + 413 + 217 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 406062801 + 125350416 = 20151^2 + 11196^2 .

It is not a de Polignac number, because 531413217 - 2¹¹ = 531411169 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (531413219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137167 + ... + 140987.

Almost surely, 2^531413217 is an apocalyptic number.

It is an amenable number.

531413217 is a deficient number, since it is larger than the sum of its proper divisors (317667015).

531413217 is a wasteful number, since it uses less digits than its factorization.

531413217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3942 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 531413217 is about 23052.4015451753. The cubic root of 531413217 is about 809.9858845277.

The spelling of 531413217 in words is "five hundred thirty-one million, four hundred thirteen thousand, two hundred seventeen".