825414041529 has 567 divisors, whose sum is σ = 1745809150869. Its totient is φ = 388557116640.

The previous prime is 825414041521. The next prime is 825414041549. The reversal of 825414041529 is 925140414528.

The square root of 825414041529 is 908523.

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

825414041529 is a `hidden beast` number, since 8 + 2 + 5 + 41 + 40 + 41 + 529 = 666.

825414041529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (567).

It is not a de Polignac number, because 825414041529 - 2³ = 825414041521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825414041521) by changing a digit.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 35887567012 + ... + 35887567034.

Almost surely, 2^825414041529 is an apocalyptic number.

825414041529 is the 908523-rd square number.

825414041529 is the 454262-nd centered octagonal number.

It is an amenable number.

825414041529 is an abundant number, since it is smaller than the sum of its proper divisors (920395109340).

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

825414041529 is a wasteful number, since it uses less digits than its factorization.

825414041529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 825414041529 in words is "eight hundred twenty-five billion, four hundred fourteen million, forty-one thousand, five hundred twenty-nine".