523520401 has 8 divisors (see below), whose sum is σ = 526205160. Its totient is φ = 520843008.

The previous prime is 523520381. The next prime is 523520407. The reversal of 523520401 is 104025325.

It can be written as a sum of positive squares in 4 ways, for example, as 4774225 + 518746176 = 2185^2 + 22776^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 523520401 - 2⁵ = 523520369 is a prime.

It is a super-2 number, since 2×523520401² = 548147220526401602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (523520407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186315 + ... + 189103.

It is an arithmetic number, because the mean of its divisors is an integer number (65775645).

Almost surely, 2^523520401 is an apocalyptic number.

It is an amenable number.

523520401 is a deficient number, since it is larger than the sum of its proper divisors (2684759).

523520401 is a wasteful number, since it uses less digits than its factorization.

523520401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683.

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 523520401 is about 22880.5681966161. The cubic root of 523520401 is about 805.9557599782.

Adding to 523520401 its reverse (104025325), we get a palindrome (627545726).

The spelling of 523520401 in words is "five hundred twenty-three million, five hundred twenty thousand, four hundred one".