82526050585053 has 64 divisors (see below), whose sum is σ = 124154186208000. Its totient is φ = 54171572428800.

The previous prime is 82526050585051. The next prime is 82526050585087. The reversal of 82526050585053 is 35058505062528.

82526050585053 is a `hidden beast` number, since 8 + 2 + 5 + 2 + 6 + 0 + 5 + 0 + 585 + 0 + 53 = 666.

It is not a de Polignac number, because 82526050585053 - 2¹ = 82526050585051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82526050585051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1604696526 + ... + 1604747952.

It is an arithmetic number, because the mean of its divisors is an integer number (1939909159500).

Almost surely, 2^{82526050585053} is an apocalyptic number.

It is an amenable number.

82526050585053 is a deficient number, since it is larger than the sum of its proper divisors (41628135622947).

82526050585053 is a wasteful number, since it uses less digits than its factorization.

82526050585053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54779 (or 54773 counting only the distinct ones).

The product of its (nonzero) digits is 14400000, while the sum is 54.

The spelling of 82526050585053 in words is "eighty-two trillion, five hundred twenty-six billion, fifty million, five hundred eighty-five thousand, fifty-three".