413540523 has 24 divisors (see below), whose sum is σ = 652556736. Its totient is φ = 250278000.

The previous prime is 413540513. The next prime is 413540539. The reversal of 413540523 is 325045314.

413540523 is a `hidden beast` number, since 4 + 135 + 4 + 0 + 523 = 666.

It is not a de Polignac number, because 413540523 - 2⁶ = 413540459 is a prime.

It is a super-2 number, since 2×413540523² = 342031528326227058, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413540513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79348 + ... + 84398.

It is an arithmetic number, because the mean of its divisors is an integer number (27189864).

Almost surely, 2^413540523 is an apocalyptic number.

413540523 is a deficient number, since it is larger than the sum of its proper divisors (239016213).

413540523 is a wasteful number, since it uses less digits than its factorization.

413540523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5895 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 413540523 is about 20335.6957835231. The cubic root of 413540523 is about 745.0281646335.

Adding to 413540523 its reverse (325045314), we get a palindrome (738585837).

The spelling of 413540523 in words is "four hundred thirteen million, five hundred forty thousand, five hundred twenty-three".