825201431 has 8 divisors (see below), whose sum is σ = 852171264. Its totient is φ = 798253560.

The previous prime is 825201427. The next prime is 825201457. The reversal of 825201431 is 134102528.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 825201431 - 2² = 825201427 is a prime.

It is a super-2 number, since 2×825201431² = 1361914803448895522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 825201431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825201401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109280 + ... + 116586.

It is an arithmetic number, because the mean of its divisors is an integer number (106521408).

Almost surely, 2^825201431 is an apocalyptic number.

825201431 is a deficient number, since it is larger than the sum of its proper divisors (26969833).

825201431 is a wasteful number, since it uses less digits than its factorization.

825201431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10981.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 825201431 is about 28726.3194823145. The cubic root of 825201431 is about 937.9650527303.

Adding to 825201431 its reverse (134102528), we get a palindrome (959303959).

The spelling of 825201431 in words is "eight hundred twenty-five million, two hundred one thousand, four hundred thirty-one".