825201429 has 32 divisors (see below), whose sum is σ = 1239490560. Its totient is φ = 484532928.

The previous prime is 825201427. The next prime is 825201457. The reversal of 825201429 is 924102528.

825201429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825201429 - 2¹ = 825201427 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 825201429.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825201427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468252 + ... + 470010.

It is an arithmetic number, because the mean of its divisors is an integer number (38734080).

Almost surely, 2^825201429 is an apocalyptic number.

It is an amenable number.

825201429 is a deficient number, since it is larger than the sum of its proper divisors (414289131).

825201429 is a wasteful number, since it uses less digits than its factorization.

825201429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 825201429 is about 28726.3194475032. The cubic root of 825201429 is about 937.9650519725.

The spelling of 825201429 in words is "eight hundred twenty-five million, two hundred one thousand, four hundred twenty-nine".