10082506005 has 48 divisors (see below), whose sum is σ = 20531661696. Its totient is φ = 4512447360.

The previous prime is 10082506003. The next prime is 10082506043. The reversal of 10082506005 is 50060528001.

10082506005 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 2 + 50 + 600 + 5 = 666.

It is not a de Polignac number, because 10082506005 - 2¹ = 10082506003 is a prime.

It is a super-2 number, since 2×10082506005² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10082506005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082506001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 776977 + ... + 789846.

It is an arithmetic number, because the mean of its divisors is an integer number (427742952).

Almost surely, 2^10082506005 is an apocalyptic number.

10082506005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10082506005 is an abundant number, since it is smaller than the sum of its proper divisors (10449155691).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10082506005 is a wasteful number, since it uses less digits than its factorization.

10082506005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566858 (or 1566855 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10082506005 in words is "ten billion, eighty-two million, five hundred six thousand, five".