1307951333649 has 45 divisors (see below), whose sum is σ = 1978969845369. Its totient is φ = 860899243320.

The previous prime is 1307951333639. The next prime is 1307951333659. The reversal of 1307951333649 is 9463331597031.

It is a happy number.

The square root of 1307951333649 is 1143657.

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

1307951333649 is a `hidden beast` number, since 1 + 30 + 7 + 9 + 513 + 33 + 64 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (1307951333639) and next prime (1307951333659).

It is not a de Polignac number, because 1307951333649 - 2²¹ = 1307949236497 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1307951333595 and 1307951333604.

It is not an unprimeable number, because it can be changed into a prime (1307951333639) 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 44 ways as a sum of consecutive naturals, for example, 854311014 + ... + 854312544.

Almost surely, 2^{1307951333649} is an apocalyptic number.

1307951333649 is the 1143657-th square number.

1307951333649 is the 571829-th centered octagonal number.

It is an amenable number.

1307951333649 is a deficient number, since it is larger than the sum of its proper divisors (671018511720).

1307951333649 is an frugal number, since it uses more digits than its factorization.

1307951333649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 1307951333649 in words is "one trillion, three hundred seven billion, nine hundred fifty-one million, three hundred thirty-three thousand, six hundred forty-nine".