3261025600561 has 9 divisors (see below), whose sum is σ = 3300940151211. Its totient is φ = 3221588057352.

The previous prime is 3261025600523. The next prime is 3261025600577. The reversal of 3261025600561 is 1650065201623.

The square root of 3261025600561 is 1805831.

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., 3001989390625 + 259036209936 = 1732625^2 + 508956^2 .

It is not a de Polignac number, because 3261025600561 - 2¹⁹ = 3261025076273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3261025600561.

It is not an unprimeable number, because it can be changed into a prime (3261025100561) 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, 149873095 + ... + 149894851.

Almost surely, 2^{3261025600561} is an apocalyptic number.

3261025600561 is the 1805831-st square number.

3261025600561 is the 902916-th centered octagonal number.

It is an amenable number.

3261025600561 is a deficient number, since it is larger than the sum of its proper divisors (39914550650).

3261025600561 is an frugal number, since it uses more digits than its factorization.

3261025600561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43680 (or 21840 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 3261025600561 in words is "three trillion, two hundred sixty-one billion, twenty-five million, six hundred thousand, five hundred sixty-one".