82529553520 has 40 divisors (see below), whose sum is σ = 192217362480. Its totient is φ = 32953989120.

The previous prime is 82529553497. The next prime is 82529553551. The reversal of 82529553520 is 2535592528.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×82529553520² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 857665 + ... + 949024.

It is an arithmetic number, because the mean of its divisors is an integer number (4805434062).

Almost surely, 2^82529553520 is an apocalyptic number.

82529553520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82529553520 is an abundant number, since it is smaller than the sum of its proper divisors (109687808960).

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

82529553520 is a wasteful number, since it uses less digits than its factorization.

82529553520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807273 (or 1807267 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 46.

The spelling of 82529553520 in words is "eighty-two billion, five hundred twenty-nine million, five hundred fifty-three thousand, five hundred twenty".