42607152225 has 189 divisors, whose sum is σ = 87699809379. Its totient is φ = 20509394400.

The previous prime is 42607152179. The next prime is 42607152229. The reversal of 42607152225 is 52225170624.

The square root of 42607152225 is 206415.

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

42607152225 is a `hidden beast` number, since 4 + 2 + 60 + 71 + 522 + 2 + 5 = 666.

42607152225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 15338574801 + 27268577424 = 123849^2 + 165132^2 .

It is not a de Polignac number, because 42607152225 - 2²⁹ = 42070281313 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42607152225.

It is not an unprimeable number, because it can be changed into a prime (42607152229) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 306526206 + ... + 306526344.

Almost surely, 2^42607152225 is an apocalyptic number.

42607152225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42607152225 is the 206415-th square number.

42607152225 is the 103208-th centered octagonal number.

It is an amenable number.

42607152225 is an abundant number, since it is smaller than the sum of its proper divisors (45092657154).

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

42607152225 is an equidigital number, since it uses as much as digits as its factorization.

42607152225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Multiplying 42607152225 by its sum of digits (36), we get a square (1533857480100 = 1238490²).

The spelling of 42607152225 in words is "forty-two billion, six hundred seven million, one hundred fifty-two thousand, two hundred twenty-five".