352597252401 has 9 divisors (see below), whose sum is σ = 509309715499. Its totient is φ = 235063647336.

The previous prime is 352597252369. The next prime is 352597252439. The reversal of 352597252401 is 104252795253.

The square root of 352597252401 is 593799.

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

352597252401 is a `hidden beast` number, since 3 + 5 + 2 + 59 + 72 + 524 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 801173025 + 351796079376 = 28305^2 + 593124^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 352597252401 - 2⁵ = 352597252369 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 (352597252471) 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, 1682431 + ... + 1880363.

Almost surely, 2^352597252401 is an apocalyptic number.

352597252401 is the 593799-th square number.

352597252401 is the 296900-th centered octagonal number.

It is an amenable number.

352597252401 is a deficient number, since it is larger than the sum of its proper divisors (156712463098).

352597252401 is an frugal number, since it uses more digits than its factorization.

352597252401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395872 (or 197936 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 352597252401 in words is "three hundred fifty-two billion, five hundred ninety-seven million, two hundred fifty-two thousand, four hundred one".