42125616680625 has 45 divisors (see below), whose sum is σ = 76036680624333. Its totient is φ = 22466735946000.

The previous prime is 42125616680603. The next prime is 42125616680629. The reversal of 42125616680625 is 52608661652124.

The square root of 42125616680625 is 6490425.

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

42125616680625 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 5 + 6 + 1 + 6 + 6 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3302648347761 + 38822968332864 = 1817319^2 + 6230808^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 42125616680625 - 2³⁹ = 41575860866737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42125616680629) 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 44 ways as a sum of consecutive naturals, for example, 486738606 + ... + 486825144.

Almost surely, 2^{42125616680625} is an apocalyptic number.

42125616680625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42125616680625 is the 6490425-th square number.

42125616680625 is the 3245213-rd centered octagonal number.

It is an amenable number.

42125616680625 is a deficient number, since it is larger than the sum of its proper divisors (33911063943708).

42125616680625 is an frugal number, since it uses more digits than its factorization.

42125616680625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173104 (or 86547 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 42125616680625 in words is "forty-two trillion, one hundred twenty-five billion, six hundred sixteen million, six hundred eighty thousand, six hundred twenty-five".