82525791838132 has 192 divisors, whose sum is σ = 153391401446976. Its totient is φ = 38805927690240.

The previous prime is 82525791838121. The next prime is 82525791838151. The reversal of 82525791838132 is 23183819752528.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 68410036513296 + 14115755324836 = 8271036^2 + 3757094^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103545535158 + ... + 103545535954.

It is an arithmetic number, because the mean of its divisors is an integer number (798913549203).

Almost surely, 2^{82525791838132} is an apocalyptic number.

It is an amenable number.

82525791838132 is a deficient number, since it is larger than the sum of its proper divisors (70865609608844).

82525791838132 is a wasteful number, since it uses less digits than its factorization.

82525791838132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1684 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 64.

The spelling of 82525791838132 in words is "eighty-two trillion, five hundred twenty-five billion, seven hundred ninety-one million, eight hundred thirty-eight thousand, one hundred thirty-two".