42335120025 has 243 divisors, whose sum is σ = 88374191997. Its totient is φ = 19357430400.

The previous prime is 42335119991. The next prime is 42335120033. The reversal of 42335120025 is 52002153324.

It is a happy number.

The square root of 42335120025 is 205755.

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

42335120025 is a `hidden beast` number, since 423 + 35 + 1 + 200 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 581919129 + 41753200896 = 24123^2 + 204336^2 .

It is not a de Polignac number, because 42335120025 - 2¹⁵ = 42335087257 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 984537654 + ... + 984537696.

Almost surely, 2^42335120025 is an apocalyptic number.

42335120025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42335120025 is the 205755-th square number.

42335120025 is the 102878-th centered octagonal number.

It is an amenable number.

42335120025 is an abundant number, since it is smaller than the sum of its proper divisors (46039071972).

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

42335120025 is a wasteful number, since it uses less digits than its factorization.

42335120025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 42335120025 its reverse (52002153324), we get a palindrome (94337273349).

The spelling of 42335120025 in words is "forty-two billion, three hundred thirty-five million, one hundred twenty thousand, twenty-five".