125033333 has 2 divisors, whose sum is σ = 125033334. Its totient is φ = 125033332.

The previous prime is 125033329. The next prime is 125033383. The reversal of 125033333 is 333330521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107785924 + 17247409 = 10382^2 + 4153^2 .

It is a cyclic number.

It is not a de Polignac number, because 125033333 - 2² = 125033329 is a prime.

It is a super-2 number, since 2×125033333² = 31266668722177778, which contains 22 as substring.

125033333 is a modest number, since divided by 33333 gives 1250 as remainder.

It is equal to p_7111913 and since 125033333 and 7111913 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 125033299 and 125033308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125033383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62516666 + 62516667.

It is an arithmetic number, because the mean of its divisors is an integer number (62516667).

Almost surely, 2^125033333 is an apocalyptic number.

It is an amenable number.

125033333 is a deficient number, since it is larger than the sum of its proper divisors (1).

125033333 is an equidigital number, since it uses as much as digits as its factorization.

125033333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 23.

The square root of 125033333 is about 11181.8304852113. The cubic root of 125033333 is about 500.0444400500.

Adding to 125033333 its reverse (333330521), we get a palindrome (458363854).

The spelling of 125033333 in words is "one hundred twenty-five million, thirty-three thousand, three hundred thirty-three".