5006540456005 has 48 divisors (see below), whose sum is σ = 7106745107952. Its totient is φ = 3370757068800.

The previous prime is 5006540455999. The next prime is 5006540456011.

5006540456005 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5006540455999) and next prime (5006540456011).

It can be written as a sum of positive squares in 8 ways, for example, as 1679411238241 + 3327129217764 = 1295921^2 + 1824042^2 .

It is not a de Polignac number, because 5006540456005 - 2¹⁹ = 5006539931717 is a prime.

It is a super-2 number, since 2×5006540456005² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3362622 + ... + 4617391.

It is an arithmetic number, because the mean of its divisors is an integer number (148057189749).

Almost surely, 2^{5006540456005} is an apocalyptic number.

5006540456005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5006540456005 is a deficient number, since it is larger than the sum of its proper divisors (2100204651947).

5006540456005 is a wasteful number, since it uses less digits than its factorization.

5006540456005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7980118 (or 7980107 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 5006540456005 in words is "five trillion, six billion, five hundred forty million, four hundred fifty-six thousand, five".