1307653547936 has 48 divisors (see below), whose sum is σ = 2710460491200. Its totient is φ = 619295851008.

The previous prime is 1307653547891. The next prime is 1307653547947. The reversal of 1307653547936 is 6397453567031.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3002045 + ... + 3409923.

It is an arithmetic number, because the mean of its divisors is an integer number (56467926900).

Almost surely, 2^{1307653547936} is an apocalyptic number.

1307653547936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1307653547936 is an abundant number, since it is smaller than the sum of its proper divisors (1402806943264).

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

1307653547936 is a wasteful number, since it uses less digits than its factorization.

1307653547936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413181 (or 413173 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 59.

The spelling of 1307653547936 in words is "one trillion, three hundred seven billion, six hundred fifty-three million, five hundred forty-seven thousand, nine hundred thirty-six".