82529502 has 96 divisors (see below), whose sum is σ = 198159360. Its totient is φ = 22809600.

The previous prime is 82529453. The next prime is 82529507. The reversal of 82529502 is 20592528.

It is a super-2 number, since 2×82529502² = 13622237400736008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82529507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427518 + ... + 427710.

It is an arithmetic number, because the mean of its divisors is an integer number (2064160).

Almost surely, 2^82529502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82529502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99079680).

82529502 is an abundant number, since it is smaller than the sum of its proper divisors (115629858).

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

82529502 is a wasteful number, since it uses less digits than its factorization.

82529502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 82529502 is about 9084.5749487799. The cubic root of 82529502 is about 435.3812696371.

The spelling of 82529502 in words is "eighty-two million, five hundred twenty-nine thousand, five hundred two".