10005550031 has 2 divisors, whose sum is σ = 10005550032. Its totient is φ = 10005550030.

The previous prime is 10005549973. The next prime is 10005550103. The reversal of 10005550031 is 13005550001.

It is a happy number.

Together with next prime (10005550103) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10005550031 - 2¹⁰ = 10005549007 is a prime.

It is a super-4 number, since 4×10005550031⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 10005549985 and 10005550012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005150031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002775015 + 5002775016.

It is an arithmetic number, because the mean of its divisors is an integer number (5002775016).

Almost surely, 2^10005550031 is an apocalyptic number.

10005550031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005550031 is an equidigital number, since it uses as much as digits as its factorization.

10005550031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 375, while the sum is 20.

The spelling of 10005550031 in words is "ten billion, five million, five hundred fifty thousand, thirty-one".