66002516505 has 48 divisors (see below), whose sum is σ = 118388284560. Its totient is φ = 33976320000.

The previous prime is 66002516491. The next prime is 66002516519. The reversal of 66002516505 is 50561520066.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66002516491) and next prime (66002516519).

It can be written as a sum of positive squares in 8 ways, for example, as 29817346329 + 36185170176 = 172677^2 + 190224^2 .

It is not a de Polignac number, because 66002516505 - 2¹⁸ = 66002254361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66002516505.

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, 5214985 + ... + 5227625.

It is an arithmetic number, because the mean of its divisors is an integer number (2466422595).

Almost surely, 2^66002516505 is an apocalyptic number.

It is an amenable number.

66002516505 is a deficient number, since it is larger than the sum of its proper divisors (52385768055).

66002516505 is a wasteful number, since it uses less digits than its factorization.

66002516505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16682 (or 16679 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 66002516505 in words is "sixty-six billion, two million, five hundred sixteen thousand, five hundred five".