6506005456525 has 48 divisors (see below), whose sum is σ = 8573461669584. Its totient is φ = 4880613703680.

The previous prime is 6506005456481. The next prime is 6506005456541. The reversal of 6506005456525 is 5256545006056.

It can be written as a sum of positive squares in 24 ways, for example, as 4500533130916 + 2005472325609 = 2121446^2 + 1416147^2 .

It is not a de Polignac number, because 6506005456525 - 2⁷ = 6506005456397 is a prime.

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, 302355067 + ... + 302376583.

It is an arithmetic number, because the mean of its divisors is an integer number (178613784783).

Almost surely, 2^{6506005456525} is an apocalyptic number.

It is an amenable number.

6506005456525 is a deficient number, since it is larger than the sum of its proper divisors (2067456213059).

6506005456525 is a wasteful number, since it uses less digits than its factorization.

6506005456525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24130 (or 24125 counting only the distinct ones).

The product of its (nonzero) digits is 5400000, while the sum is 49.

The spelling of 6506005456525 in words is "six trillion, five hundred six billion, five million, four hundred fifty-six thousand, five hundred twenty-five".