82503253305 has 48 divisors (see below), whose sum is σ = 156032510400. Its totient is φ = 39994819200.

The previous prime is 82503253297. The next prime is 82503253361. The reversal of 82503253305 is 50335230528.

82503253305 is a `hidden beast` number, since 8 + 25 + 0 + 325 + 3 + 305 = 666.

It is not a de Polignac number, because 82503253305 - 2³ = 82503253297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82503253305.

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, 4178346 + ... + 4198044.

It is an arithmetic number, because the mean of its divisors is an integer number (3250677300).

Almost surely, 2^82503253305 is an apocalyptic number.

It is an amenable number.

82503253305 is a deficient number, since it is larger than the sum of its proper divisors (73529257095).

82503253305 is a wasteful number, since it uses less digits than its factorization.

82503253305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28182 (or 28179 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 82503253305 in words is "eighty-two billion, five hundred three million, two hundred fifty-three thousand, three hundred five".