82527758305025 has 48 divisors (see below), whose sum is σ = 115945748901888. Its totient is φ = 57727707912000.

The previous prime is 82527758304923. The next prime is 82527758305043. The reversal of 82527758305025 is 52050385772528.

It is not a de Polignac number, because 82527758305025 - 2²⁴ = 82527741527809 is a prime.

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, 28305749 + ... + 31084898.

It is an arithmetic number, because the mean of its divisors is an integer number (2415536435456).

Almost surely, 2^{82527758305025} is an apocalyptic number.

It is an amenable number.

82527758305025 is a deficient number, since it is larger than the sum of its proper divisors (33417990596863).

82527758305025 is a wasteful number, since it uses less digits than its factorization.

82527758305025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59390862 (or 59390857 counting only the distinct ones).

The product of its (nonzero) digits is 47040000, while the sum is 59.

The spelling of 82527758305025 in words is "eighty-two trillion, five hundred twenty-seven billion, seven hundred fifty-eight million, three hundred five thousand, twenty-five".