42589994262201 has 27 divisors (see below), whose sum is σ = 64927695922479. Its totient is φ = 26898708804912.

The previous prime is 42589994262187. The next prime is 42589994262203. The reversal of 42589994262201 is 10226249998524.

The square root of 42589994262201 is 6526101.

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

42589994262201 is a `hidden beast` number, since 4 + 2 + 5 + 89 + 9 + 94 + 262 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6449745933225 + 36140248328976 = 2539635^2 + 6011676^2 .

It is not a de Polignac number, because 42589994262201 - 2³⁷ = 42452555308729 is a prime.

It is a super-2 number, since 2×42589994262201² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42589994262203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 371930511 + ... + 372045003.

Almost surely, 2^{42589994262201} is an apocalyptic number.

42589994262201 is the 6526101-st square number.

42589994262201 is the 3263051-st centered octagonal number.

It is an amenable number.

42589994262201 is a deficient number, since it is larger than the sum of its proper divisors (22337701660278).

42589994262201 is an frugal number, since it uses more digits than its factorization.

42589994262201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229030 (or 114515 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 42589994262201 in words is "forty-two trillion, five hundred eighty-nine billion, nine hundred ninety-four million, two hundred sixty-two thousand, two hundred one".