1306261970832 has 240 divisors, whose sum is σ = 4270999471872. Its totient is φ = 340956241920.

The previous prime is 1306261970801. The next prime is 1306261970833. The reversal of 1306261970832 is 2380791626031.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1306261970833) 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 47 ways as a sum of consecutive naturals, for example, 2745657 + ... + 3186087.

Almost surely, 2^{1306261970832} is an apocalyptic number.

1306261970832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306261970832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135499735936).

1306261970832 is an abundant number, since it is smaller than the sum of its proper divisors (2964737501040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1306261970832 is a wasteful number, since it uses less digits than its factorization.

1306261970832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440566 (or 440553 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 1306261970832 in words is "one trillion, three hundred six billion, two hundred sixty-one million, nine hundred seventy thousand, eight hundred thirty-two".