42817955625 has 135 divisors (see below), whose sum is σ = 80766333219. Its totient is φ = 21851280000.

The previous prime is 42817955611. The next prime is 42817955627. The reversal of 42817955625 is 52655971824.

The square root of 42817955625 is 206925.

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

42817955625 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 7 + 9 + 5 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 41595194601 + 1222761024 = 203949^2 + 34968^2 .

It is not a de Polignac number, because 42817955625 - 2⁹ = 42817955113 is a prime.

Its product of digits (6048000) is a multiple of the sum of its prime divisors (128).

It is not an unprimeable number, because it can be changed into a prime (42817955627) 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 134 ways as a sum of consecutive naturals, for example, 481100581 + ... + 481100669.

Almost surely, 2^42817955625 is an apocalyptic number.

42817955625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42817955625 is the 206925-th square number.

42817955625 is the 103463-rd centered octagonal number.

It is an amenable number.

42817955625 is a deficient number, since it is larger than the sum of its proper divisors (37948377594).

42817955625 is an frugal number, since it uses more digits than its factorization.

42817955625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 128 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 42817955625 in words is "forty-two billion, eight hundred seventeen million, nine hundred fifty-five thousand, six hundred twenty-five".