42582933225 has 120 divisors (see below), whose sum is σ = 95449926528. Its totient is φ = 18321292800.

The previous prime is 42582933193. The next prime is 42582933227. The reversal of 42582933225 is 52233928524.

42582933225 is a `hidden beast` number, since 42 + 582 + 9 + 3 + 3 + 2 + 25 = 666.

It is not a de Polignac number, because 42582933225 - 2⁵ = 42582933193 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (42582933227) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 152620 + ... + 329330.

Almost surely, 2^42582933225 is an apocalyptic number.

42582933225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42582933225 is an abundant number, since it is smaller than the sum of its proper divisors (52866993303).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42582933225 is a wasteful number, since it uses less digits than its factorization.

42582933225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176757 (or 176743 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 42582933225 in words is "forty-two billion, five hundred eighty-two million, nine hundred thirty-three thousand, two hundred twenty-five".