10006545131 has 6 divisors (see below), whose sum is σ = 10916592996. Its totient is φ = 9096557600.

The previous prime is 10006545119. The next prime is 10006545137. The reversal of 10006545131 is 13154560001.

It is not a de Polignac number, because 10006545131 - 2¹⁴ = 10006528747 is a prime.

It is a super-2 number, since 2×10006545131² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10006545131.

It is not an unprimeable number, because it can be changed into a prime (10006545137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 316691 + ... + 346851.

It is an arithmetic number, because the mean of its divisors is an integer number (1819432166).

Almost surely, 2^10006545131 is an apocalyptic number.

10006545131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10006545131 is a deficient number, since it is larger than the sum of its proper divisors (910047865).

10006545131 is an frugal number, since it uses more digits than its factorization.

10006545131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60333 (or 30172 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 10006545131 in words is "ten billion, six million, five hundred forty-five thousand, one hundred thirty-one".