609959438001 has 81 divisors (see below), whose sum is σ = 937215591403. Its totient is φ = 382252150560.

The previous prime is 609959437951. The next prime is 609959438021. The reversal of 609959438001 is 100834959906.

The square root of 609959438001 is 780999.

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

It can be written as a sum of positive squares in only one way, i.e., 319847933601 + 290111504400 = 565551^2 + 538620^2 .

It is not a de Polignac number, because 609959438001 - 2⁷ = 609959437873 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (609959438021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3193504816 + ... + 3193505006.

Almost surely, 2^609959438001 is an apocalyptic number.

609959438001 is the 780999-th square number.

609959438001 is the 390500-th centered octagonal number.

It is an amenable number.

609959438001 is a deficient number, since it is larger than the sum of its proper divisors (327256153402).

609959438001 is an equidigital number, since it uses as much as digits as its factorization.

609959438001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

It can be divided in two parts, 6099 and 59438001, that added together give a square (59444100 = 7710²).

The spelling of 609959438001 in words is "six hundred nine billion, nine hundred fifty-nine million, four hundred thirty-eight thousand, one".