10524042405 has 12 divisors (see below), whose sum is σ = 18241673580. Its totient is φ = 5612822592.

The previous prime is 10524042391. The next prime is 10524042421. The reversal of 10524042405 is 50424042501.

10524042405 is a `hidden beast` number, since 10 + 5 + 2 + 404 + 240 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2139710049 + 8384332356 = 46257^2 + 91566^2 .

It is not a de Polignac number, because 10524042405 - 2¹⁵ = 10524009637 is a prime.

It is a super-5 number, since 5×10524042405⁵ (a number of 51 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116933760 + ... + 116933849.

It is an arithmetic number, because the mean of its divisors is an integer number (1520139465).

Almost surely, 2^10524042405 is an apocalyptic number.

10524042405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10524042405 is a deficient number, since it is larger than the sum of its proper divisors (7717631175).

10524042405 is a wasteful number, since it uses less digits than its factorization.

10524042405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233867620 (or 233867617 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 10524042405 its reverse (50424042501), we get a palindrome (60948084906).

The spelling of 10524042405 in words is "ten billion, five hundred twenty-four million, forty-two thousand, four hundred five".