82821505725 has 240 divisors, whose sum is σ = 185440797696. Its totient is φ = 35738496000.

The previous prime is 82821505717. The next prime is 82821505733. The reversal of 82821505725 is 52750512828.

82821505725 is a `hidden beast` number, since 8 + 2 + 8 + 21 + 50 + 572 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (82821505717) and next prime (82821505733).

It is not a de Polignac number, because 82821505725 - 2³ = 82821505717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18014127 + ... + 18018723.

Almost surely, 2^82821505725 is an apocalyptic number.

It is an amenable number.

82821505725 is an abundant number, since it is smaller than the sum of its proper divisors (102619291971).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82821505725 is a wasteful number, since it uses less digits than its factorization.

82821505725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 82821505725 in words is "eighty-two billion, eight hundred twenty-one million, five hundred five thousand, seven hundred twenty-five".