10117531 has 2 divisors, whose sum is σ = 10117532. Its totient is φ = 10117530.

The previous prime is 10117517. The next prime is 10117537. The reversal of 10117531 is 13571101.

10117531 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10117531 - 2⁷ = 10117403 is a prime.

It is a super-2 number, since 2×10117531² = 204728867071922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10117499 and 10117508.

It is not a weakly prime, because it can be changed into another prime (10117537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5058765 + 5058766.

It is an arithmetic number, because the mean of its divisors is an integer number (5058766).

Almost surely, 2^10117531 is an apocalyptic number.

10117531 is the 1423-rd centered decagonal number.

10117531 is a deficient number, since it is larger than the sum of its proper divisors (1).

10117531 is an equidigital number, since it uses as much as digits as its factorization.

10117531 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105, while the sum is 19.

The square root of 10117531 is about 3180.8066586952. The cubic root of 10117531 is about 216.2842265983.

Adding to 10117531 its reverse (13571101), we get a palindrome (23688632).

It can be divided in two parts, 10117 and 531, that added together give a cube (10648 = 22³).

The spelling of 10117531 in words is "ten million, one hundred seventeen thousand, five hundred thirty-one".