642125175 has 48 divisors (see below), whose sum is σ = 1083883008. Its totient is φ = 335376000.

The previous prime is 642125153. The next prime is 642125177. The reversal of 642125175 is 571521246.

642125175 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 642125175 - 2¹⁸ = 641863031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642125177) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779814 + ... + 780636.

It is an arithmetic number, because the mean of its divisors is an integer number (22580896).

Almost surely, 2^642125175 is an apocalyptic number.

642125175 is a deficient number, since it is larger than the sum of its proper divisors (441757833).

642125175 is a wasteful number, since it uses less digits than its factorization.

642125175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1035 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 642125175 is about 25340.1889298403. The cubic root of 642125175 is about 862.7266868975.

The spelling of 642125175 in words is "six hundred forty-two million, one hundred twenty-five thousand, one hundred seventy-five".