125523313 has 2 divisors, whose sum is σ = 125523314. Its totient is φ = 125523312.

The previous prime is 125523311. The next prime is 125523317. The reversal of 125523313 is 313325521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112105744 + 13417569 = 10588^2 + 3663^2 .

It is a cyclic number.

It is not a de Polignac number, because 125523313 - 2¹ = 125523311 is a prime.

It is a super-2 number, since 2×125523313² = 31512204212991938, which contains 22 as substring.

Together with 125523311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (125523311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62761656 + 62761657.

It is an arithmetic number, because the mean of its divisors is an integer number (62761657).

Almost surely, 2^125523313 is an apocalyptic number.

It is an amenable number.

125523313 is a deficient number, since it is larger than the sum of its proper divisors (1).

125523313 is an equidigital number, since it uses as much as digits as its factorization.

125523313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2700, while the sum is 25.

The square root of 125523313 is about 11203.7187129988. The cubic root of 125523313 is about 500.6967792131.

Adding to 125523313 its reverse (313325521), we get a palindrome (438848834).

The spelling of 125523313 in words is "one hundred twenty-five million, five hundred twenty-three thousand, three hundred thirteen".