10405242531 has 16 divisors (see below), whose sum is σ = 15472490400. Its totient is φ = 6911036064.

The previous prime is 10405242511. The next prime is 10405242583. The reversal of 10405242531 is 13524250401.

10405242531 is a `hidden beast` number, since 1 + 0 + 40 + 52 + 42 + 531 = 666.

10405242531 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10405242531 - 2⁶ = 10405242467 is a prime.

It is a super-2 number, since 2×10405242531² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10405242495 and 10405242504.

It is not an unprimeable number, because it can be changed into a prime (10405242511) 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 15 ways as a sum of consecutive naturals, for example, 709056 + ... + 723581.

It is an arithmetic number, because the mean of its divisors is an integer number (967030650).

Almost surely, 2^10405242531 is an apocalyptic number.

10405242531 is a deficient number, since it is larger than the sum of its proper divisors (5067247869).

10405242531 is a wasteful number, since it uses less digits than its factorization.

10405242531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432915 (or 1432909 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10405242531 its reverse (13524250401), we get a palindrome (23929492932).

The spelling of 10405242531 in words is "ten billion, four hundred five million, two hundred forty-two thousand, five hundred thirty-one".