523122561 has 48 divisors (see below), whose sum is σ = 857984400. Its totient is φ = 304851456.

The previous prime is 523122559. The next prime is 523122569. The reversal of 523122561 is 165221325.

It is a happy number.

523122561 is a `hidden beast` number, since 52 + 31 + 22 + 561 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9828225 + 513294336 = 3135^2 + 22656^2 .

It is not a de Polignac number, because 523122561 - 2¹ = 523122559 is a prime.

It is a super-3 number, since 3×523122561³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (523122569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178375 + ... + 181283.

It is an arithmetic number, because the mean of its divisors is an integer number (17874675).

Almost surely, 2^523122561 is an apocalyptic number.

It is an amenable number.

523122561 is a deficient number, since it is larger than the sum of its proper divisors (334861839).

523122561 is a wasteful number, since it uses less digits than its factorization.

523122561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 3007 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 523122561 is about 22871.8727042628. The cubic root of 523122561 is about 805.7515510017.

Adding to 523122561 its reverse (165221325), we get a palindrome (688343886).

The spelling of 523122561 in words is "five hundred twenty-three million, one hundred twenty-two thousand, five hundred sixty-one".