3535268613361 has 9 divisors (see below), whose sum is σ = 3559436557131. Its totient is φ = 3511263704184.

The previous prime is 3535268613347. The next prime is 3535268613389. The reversal of 3535268613361 is 1633168625353.

The square root of 3535268613361 is 1880231.

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., 414181057761 + 3121087555600 = 643569^2 + 1766660^2 .

It is not a de Polignac number, because 3535268613361 - 2⁵ = 3535268613329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3535268613299 and 3535268613308.

It is not an unprimeable number, because it can be changed into a prime (3535268613311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 280148110 + ... + 280160728.

Almost surely, 2^{3535268613361} is an apocalyptic number.

3535268613361 is the 1880231-st square number.

3535268613361 is the 940116-th centered octagonal number.

It is an amenable number.

3535268613361 is a deficient number, since it is larger than the sum of its proper divisors (24167943770).

3535268613361 is an frugal number, since it uses more digits than its factorization.

3535268613361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25536 (or 12768 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 52.

The spelling of 3535268613361 in words is "three trillion, five hundred thirty-five billion, two hundred sixty-eight million, six hundred thirteen thousand, three hundred sixty-one".