1260816825321 has 9 divisors (see below), whose sum is σ = 1821184724541. Its totient is φ = 840542304492.

The previous prime is 1260816825193. The next prime is 1260816825329. The reversal of 1260816825321 is 1235286180621.

The square root of 1260816825321 is 1122861.

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

1260816825321 is a `hidden beast` number, since 1 + 2 + 608 + 1 + 6 + 8 + 2 + 5 + 32 + 1 = 666.

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

It is not a de Polignac number, because 1260816825321 - 2⁷ = 1260816825193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1260816825329) 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, 3181440 + ... + 3555726.

Almost surely, 2^{1260816825321} is an apocalyptic number.

1260816825321 is the 1122861-st square number.

1260816825321 is the 561431-st centered octagonal number.

It is an amenable number.

1260816825321 is a deficient number, since it is larger than the sum of its proper divisors (560367899220).

1260816825321 is an frugal number, since it uses more digits than its factorization.

1260816825321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748580 (or 374290 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1260816825321 in words is "one trillion, two hundred sixty billion, eight hundred sixteen million, eight hundred twenty-five thousand, three hundred twenty-one".