1306291270761 has 9 divisors (see below), whose sum is σ = 1886870121591. Its totient is φ = 870858561312.

The previous prime is 1306291270721. The next prime is 1306291270763. The reversal of 1306291270761 is 1670721926031.

The square root of 1306291270761 is 1142931.

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

1306291270761 is a `hidden beast` number, since 1 + 3 + 0 + 629 + 12 + 7 + 0 + 7 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1285513778025 + 20777492736 = 1133805^2 + 144144^2 .

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

It is not a de Polignac number, because 1306291270761 - 2¹⁹ = 1306290746473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1306291270763) 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, 3238305 + ... + 3619281.

Almost surely, 2^{1306291270761} is an apocalyptic number.

1306291270761 is the 1142931-st square number.

1306291270761 is the 571466-th centered octagonal number.

It is an amenable number.

1306291270761 is a deficient number, since it is larger than the sum of its proper divisors (580578850830).

1306291270761 is an frugal number, since it uses more digits than its factorization.

1306291270761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761960 (or 380980 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 1306291270761 in words is "one trillion, three hundred six billion, two hundred ninety-one million, two hundred seventy thousand, seven hundred sixty-one".