825513241 has 12 divisors (see below), whose sum is σ = 961756212. Its totient is φ = 706503168.

The previous prime is 825513211. The next prime is 825513257. The reversal of 825513241 is 142315528.

It can be written as a sum of positive squares in 2 ways, for example, as 163737616 + 661775625 = 12796^2 + 25725^2 .

It is not a de Polignac number, because 825513241 - 2⁵ = 825513209 is a prime.

It is a super-2 number, since 2×825513241² = 1362944222132648162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825513211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20461 + ... + 45493.

It is an arithmetic number, because the mean of its divisors is an integer number (80146351).

Almost surely, 2^825513241 is an apocalyptic number.

It is an amenable number.

825513241 is a deficient number, since it is larger than the sum of its proper divisors (136242971).

825513241 is a wasteful number, since it uses less digits than its factorization.

825513241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25720 (or 25713 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The square root of 825513241 is about 28731.7462226019. The cubic root of 825513241 is about 938.0831774462.

Adding to 825513241 its reverse (142315528), we get a palindrome (967828769).

The spelling of 825513241 in words is "eight hundred twenty-five million, five hundred thirteen thousand, two hundred forty-one".