3253582605361 has 9 divisors (see below), whose sum is σ = 3576273763993. Its totient is φ = 2957784330820.

The previous prime is 3253582605359. The next prime is 3253582605389. The reversal of 3253582605361 is 1635062853523.

The square root of 3253582605361 is 1803769.

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

It is not a de Polignac number, because 3253582605361 - 2¹ = 3253582605359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3253582605761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19759470 + ... + 19923448.

Almost surely, 2^{3253582605361} is an apocalyptic number.

3253582605361 is the 1803769-th square number.

3253582605361 is the 901885-th centered octagonal number.

It is an amenable number.

3253582605361 is a deficient number, since it is larger than the sum of its proper divisors (322691158632).

3253582605361 is an frugal number, since it uses more digits than its factorization.

3253582605361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327980 (or 163990 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 49.

Multiplying 3253582605361 by its sum of digits (49), we get a square (159425547662689 = 12626383²).

The spelling of 3253582605361 in words is "three trillion, two hundred fifty-three billion, five hundred eighty-two million, six hundred five thousand, three hundred sixty-one".