125628819 has 16 divisors (see below), whose sum is σ = 170576640. Its totient is φ = 82225440.

The previous prime is 125628803. The next prime is 125628847. The reversal of 125628819 is 918826521.

It is a happy number.

It is not a de Polignac number, because 125628819 - 2⁴ = 125628803 is a prime.

It is a super-2 number, since 2×125628819² = 31565200326669522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125628119) 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 in 15 ways as a sum of consecutive naturals, for example, 71289 + ... + 73029.

It is an arithmetic number, because the mean of its divisors is an integer number (10661040).

Almost surely, 2^125628819 is an apocalyptic number.

125628819 is a deficient number, since it is larger than the sum of its proper divisors (44947821).

125628819 is a wasteful number, since it uses less digits than its factorization.

125628819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170.

The product of its digits is 69120, while the sum is 42.

The square root of 125628819 is about 11208.4262499247. The cubic root of 125628819 is about 500.8370233353.

The spelling of 125628819 in words is "one hundred twenty-five million, six hundred twenty-eight thousand, eight hundred nineteen".