825123913 has 2 divisors, whose sum is σ = 825123914. Its totient is φ = 825123912.

The previous prime is 825123911. The next prime is 825123977. The reversal of 825123913 is 319321528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 817216569 + 7907344 = 28587^2 + 2812^2 .

It is a cyclic number.

It is not a de Polignac number, because 825123913 - 2¹ = 825123911 is a prime.

Together with 825123911, it forms a pair of twin primes.

It is equal to p_42370918 and since 825123913 and 42370918 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (825123911) 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 as a sum of consecutive naturals, namely, 412561956 + 412561957.

It is an arithmetic number, because the mean of its divisors is an integer number (412561957).

Almost surely, 2^825123913 is an apocalyptic number.

It is an amenable number.

825123913 is a deficient number, since it is larger than the sum of its proper divisors (1).

825123913 is an equidigital number, since it uses as much as digits as its factorization.

825123913 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 34.

The square root of 825123913 is about 28724.9702001586. The cubic root of 825123913 is about 937.9356815372.

The spelling of 825123913 in words is "eight hundred twenty-five million, one hundred twenty-three thousand, nine hundred thirteen".