82499349529 has 9 divisors (see below), whose sum is σ = 82837067103. Its totient is φ = 82163006712.

The previous prime is 82499349473. The next prime is 82499349539. The reversal of 82499349529 is 92594399428.

The square root of 82499349529 is 287227.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 60553889929 + 21945459600 = 246077^2 + 148140^2 .

It is not a de Polignac number, because 82499349529 - 2⁹ = 82499349017 is a prime.

It is a super-2 number, since 2×82499349529² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82499349539) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100241812 + ... + 100242634.

It is an arithmetic number, because the mean of its divisors is an integer number (9204118567).

Almost surely, 2^82499349529 is an apocalyptic number.

82499349529 is the 287227-th square number.

82499349529 is the 143614-th centered octagonal number.

It is an amenable number.

82499349529 is a deficient number, since it is larger than the sum of its proper divisors (337717574).

82499349529 is an frugal number, since it uses more digits than its factorization.

82499349529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 1172 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 64.

Multiplying 82499349529 by its sum of digits (64), we get a square (5279958369856 = 2297816²).

The spelling of 82499349529 in words is "eighty-two billion, four hundred ninety-nine million, three hundred forty-nine thousand, five hundred twenty-nine".