42109092025 has 243 divisors, whose sum is σ = 74101083399. Its totient is φ = 23639616000.

The previous prime is 42109091993. The next prime is 42109092029. The reversal of 42109092025 is 52029090124.

The square root of 42109092025 is 205205.

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

It can be written as a sum of positive squares in 13 ways, for example, as 38161231801 + 3947860224 = 195349^2 + 62832^2 .

It is not a de Polignac number, because 42109092025 - 2⁵ = 42109091993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42109092029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1027051005 + ... + 1027051045.

Almost surely, 2^42109092025 is an apocalyptic number.

42109092025 is the 205205-th square number.

42109092025 is the 102603-rd centered octagonal number.

It is an amenable number.

42109092025 is a deficient number, since it is larger than the sum of its proper divisors (31991991374).

42109092025 is a wasteful number, since it uses less digits than its factorization.

42109092025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 42109092025 in words is "forty-two billion, one hundred nine million, ninety-two thousand, twenty-five".