42322775625 has 135 divisors (see below), whose sum is σ = 83113869267. Its totient is φ = 20737080000.

The previous prime is 42322775603. The next prime is 42322775639. The reversal of 42322775625 is 52657722324.

The square root of 42322775625 is 205725.

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

It can be written as a sum of positive squares in 7 ways, for example, as 41803482681 + 519292944 = 204459^2 + 22788^2 .

It is not a de Polignac number, because 42322775625 - 2⁹ = 42322775113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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 134 ways as a sum of consecutive naturals, for example, 200581770 + ... + 200581980.

Almost surely, 2^42322775625 is an apocalyptic number.

42322775625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42322775625 is the 205725-th square number.

42322775625 is the 102863-rd centered octagonal number.

It is an amenable number.

42322775625 is a deficient number, since it is larger than the sum of its proper divisors (40791093642).

42322775625 is an equidigital number, since it uses as much as digits as its factorization.

42322775625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 232 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The spelling of 42322775625 in words is "forty-two billion, three hundred twenty-two million, seven hundred seventy-five thousand, six hundred twenty-five".