352599627601 has 9 divisors (see below), whose sum is σ = 381817423281. Its totient is φ = 325469453712.

The previous prime is 352599627581. The next prime is 352599627613. The reversal of 352599627601 is 106726995253.

The square root of 352599627601 is 593801.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1993533201 + 350606094400 = 44649^2 + 592120^2 .

It is a de Polignac number, because none of the positive numbers 2^k-352599627601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (352599627671) 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 8 ways as a sum of consecutive naturals, for example, 7696575 + ... + 7742251.

Almost surely, 2^352599627601 is an apocalyptic number.

352599627601 is the 593801-st square number.

352599627601 is the 296901-st centered octagonal number.

It is an amenable number.

352599627601 is a deficient number, since it is larger than the sum of its proper divisors (29217795680).

352599627601 is an frugal number, since it uses more digits than its factorization.

352599627601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91380 (or 45690 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 55.

The spelling of 352599627601 in words is "three hundred fifty-two billion, five hundred ninety-nine million, six hundred twenty-seven thousand, six hundred one".