42658990018225 has 81 divisors (see below), whose sum is σ = 61935331512033. Its totient is φ = 29062050696000.

The previous prime is 42658990018213. The next prime is 42658990018241. The reversal of 42658990018225 is 52281009985624.

The square root of 42658990018225 is 6531385.

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

42658990018225 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 4 ways, for example, as 22894990486641 + 19763999531584 = 4784871^2 + 4445672^2 .

It is not a de Polignac number, because 42658990018225 - 2¹³ = 42658990010033 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 41376323460 + ... + 41376324490.

Almost surely, 2^{42658990018225} is an apocalyptic number.

42658990018225 is the 6531385-th square number.

42658990018225 is the 3265693-rd centered octagonal number.

It is an amenable number.

42658990018225 is a deficient number, since it is larger than the sum of its proper divisors (19276341493808).

42658990018225 is an frugal number, since it uses more digits than its factorization.

42658990018225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 61.

The spelling of 42658990018225 in words is "forty-two trillion, six hundred fifty-eight billion, nine hundred ninety million, eighteen thousand, two hundred twenty-five".