65205306000516 has 48 divisors (see below), whose sum is σ = 171700492299840. Its totient is φ = 19077832475520.

The previous prime is 65205306000511. The next prime is 65205306000551. The reversal of 65205306000516 is 61500060350256.

It is not an unprimeable number, because it can be changed into a prime (65205306000511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8516885671 + ... + 8516893326.

It is an arithmetic number, because the mean of its divisors is an integer number (3577093589580).

Almost surely, 2^{65205306000516} is an apocalyptic number.

65205306000516 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

65205306000516 is an abundant number, since it is smaller than the sum of its proper divisors (106495186299324).

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

65205306000516 is a wasteful number, since it uses less digits than its factorization.

65205306000516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17033779044 (or 17033779042 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 65205306000516 in words is "sixty-five trillion, two hundred five billion, three hundred six million, five hundred sixteen", and thus it is an aban number.