1306379948377 has 12 divisors (see below), whose sum is σ = 1519690097460. Its totient is φ = 1119736832256.

The previous prime is 1306379948359. The next prime is 1306379948413. The reversal of 1306379948377 is 7738499736031.

It can be written as a sum of positive squares in 2 ways, for example, as 728933458176 + 577446490201 = 853776^2 + 759899^2 .

It is not a de Polignac number, because 1306379948377 - 2³¹ = 1304232464729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1306379948077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3733393 + ... + 4068289.

It is an arithmetic number, because the mean of its divisors is an integer number (126640841455).

Almost surely, 2^{1306379948377} is an apocalyptic number.

It is an amenable number.

1306379948377 is a deficient number, since it is larger than the sum of its proper divisors (213310149083).

1306379948377 is an equidigital number, since it uses as much as digits as its factorization.

1306379948377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414520 (or 414513 counting only the distinct ones).

The product of its (nonzero) digits is 144027072, while the sum is 67.

The spelling of 1306379948377 in words is "one trillion, three hundred six billion, three hundred seventy-nine million, nine hundred forty-eight thousand, three hundred seventy-seven".