42187106025 has 27 divisors (see below), whose sum is σ = 75567313029. Its totient is φ = 22498146720.

The previous prime is 42187105993. The next prime is 42187106081. The reversal of 42187106025 is 52060178124.

The square root of 42187106025 is 205395.

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

42187106025 is a `hidden beast` number, since 42 + 1 + 8 + 7 + 1 + 0 + 602 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13817767401 + 28369338624 = 117549^2 + 168432^2 .

It is not a de Polignac number, because 42187106025 - 2⁵ = 42187105993 is a prime.

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 26 ways as a sum of consecutive naturals, for example, 3074079 + ... + 3087771.

Almost surely, 2^42187106025 is an apocalyptic number.

42187106025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42187106025 is the 205395-th square number.

42187106025 is the 102698-th centered octagonal number.

It is an amenable number.

42187106025 is a deficient number, since it is larger than the sum of its proper divisors (33380207004).

42187106025 is an frugal number, since it uses more digits than its factorization.

42187106025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27402 (or 13701 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 42187106025 by its sum of digits (36), we get a square (1518735816900 = 1232370²).

The spelling of 42187106025 in words is "forty-two billion, one hundred eighty-seven million, one hundred six thousand, twenty-five".