42219975625 has 15 divisors (see below), whose sum is σ = 52764501361. Its totient is φ = 33771871000.

The previous prime is 42219975617. The next prime is 42219975647. The reversal of 42219975625 is 52657991224.

It is a happy number.

The square root of 42219975625 is 205475.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 3310046089 + 38909929536 = 57533^2 + 197256^2 .

It is not a de Polignac number, because 42219975625 - 2³ = 42219975617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 5132766 + ... + 5140984.

Almost surely, 2^42219975625 is an apocalyptic number.

42219975625 is the 205475-th square number.

42219975625 is the 102738-th centered octagonal number.

It is an amenable number.

42219975625 is a deficient number, since it is larger than the sum of its proper divisors (10544525736).

42219975625 is an frugal number, since it uses more digits than its factorization.

42219975625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16458 (or 8224 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 52.

The spelling of 42219975625 in words is "forty-two billion, two hundred nineteen million, nine hundred seventy-five thousand, six hundred twenty-five".