82126525 has 24 divisors (see below), whose sum is σ = 111555360. Its totient is φ = 59605440.

The previous prime is 82126519. The next prime is 82126529. The reversal of 82126525 is 52562128.

It is not a de Polignac number, because 82126525 - 2⁹ = 82126013 is a prime.

It is a super-2 number, since 2×82126525² = 13489532217151250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82126529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17034 + ... + 21316.

It is an arithmetic number, because the mean of its divisors is an integer number (4648140).

Almost surely, 2^82126525 is an apocalyptic number.

It is an amenable number.

82126525 is a deficient number, since it is larger than the sum of its proper divisors (29428835).

82126525 is a wasteful number, since it uses less digits than its factorization.

82126525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4360 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The square root of 82126525 is about 9062.3686197373. The cubic root of 82126525 is about 434.6714831471.

The spelling of 82126525 in words is "eighty-two million, one hundred twenty-six thousand, five hundred twenty-five".