482709521529 has 135 divisors (see below), whose sum is σ = 811830634527. Its totient is φ = 285735123072.

The previous prime is 482709521519. The next prime is 482709521531. The reversal of 482709521529 is 925125907284.

The square root of 482709521529 is 694773.

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

482709521529 is a `hidden beast` number, since 4 + 8 + 2 + 7 + 0 + 95 + 21 + 529 = 666.

482709521529 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 375811911225 + 106897610304 = 613035^2 + 326952^2 .

It is not a de Polignac number, because 482709521529 - 2¹³ = 482709513337 is a prime.

It is a super-2 number, since 2×482709521529² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (482709521509) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2019704992 + ... + 2019705230.

Almost surely, 2^482709521529 is an apocalyptic number.

482709521529 is the 694773-rd square number.

482709521529 is the 347387-th centered octagonal number.

It is an amenable number.

482709521529 is a deficient number, since it is larger than the sum of its proper divisors (329121112998).

482709521529 is an equidigital number, since it uses as much as digits as its factorization.

482709521529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 482709521529 in words is "four hundred eighty-two billion, seven hundred nine million, five hundred twenty-one thousand, five hundred twenty-nine".