10061006031 has 24 divisors (see below), whose sum is σ = 15438403344. Its totient is φ = 6543737280.

The previous prime is 10061006017. The next prime is 10061006051. The reversal of 10061006031 is 13060016001.

10061006031 is a `hidden beast` number, since 1 + 0 + 0 + 61 + 0 + 0 + 603 + 1 = 666.

It is not a de Polignac number, because 10061006031 - 2²⁹ = 9524135119 is a prime.

It is a super-2 number, since 2×10061006031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10061005995 and 10061006013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061006051) 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, 494956 + ... + 514881.

It is an arithmetic number, because the mean of its divisors is an integer number (643266806).

Almost surely, 2^10061006031 is an apocalyptic number.

10061006031 is a deficient number, since it is larger than the sum of its proper divisors (5377397313).

10061006031 is an equidigital number, since it uses as much as digits as its factorization.

10061006031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009893 (or 1009881 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The spelling of 10061006031 in words is "ten billion, sixty-one million, six thousand, thirty-one".