350368102561 has 9 divisors (see below), whose sum is σ = 362884149043. Its totient is φ = 338269870120.

The previous prime is 350368102507. The next prime is 350368102571. The reversal of 350368102561 is 165201863053.

The square root of 350368102561 is 591919.

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., 183724534161 + 166643568400 = 428631^2 + 408220^2 .

It is not a de Polignac number, because 350368102561 - 2⁷ = 350368102433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (350368102571) 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, 17155446 + ... + 17175856.

Almost surely, 2^350368102561 is an apocalyptic number.

350368102561 is the 591919-th square number.

350368102561 is the 295960-th centered octagonal number.

It is an amenable number.

350368102561 is a deficient number, since it is larger than the sum of its proper divisors (12516046482).

350368102561 is an frugal number, since it uses more digits than its factorization.

350368102561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40880 (or 20440 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

It can be divided in two parts, 350368 and 102561, that added together give a square (452929 = 673²).

The spelling of 350368102561 in words is "three hundred fifty billion, three hundred sixty-eight million, one hundred two thousand, five hundred sixty-one".