1307993505 has 96 divisors (see below), whose sum is σ = 2635928064. Its totient is φ = 548964864.

The previous prime is 1307993501. The next prime is 1307993513. The reversal of 1307993505 is 5053997031.

It is a happy number.

It is not a de Polignac number, because 1307993505 - 2² = 1307993501 is a prime.

It is a super-3 number, since 3×1307993505³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1307993501) 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 95 ways as a sum of consecutive naturals, for example, 3506499 + ... + 3506871.

It is an arithmetic number, because the mean of its divisors is an integer number (27457584).

Almost surely, 2^1307993505 is an apocalyptic number.

1307993505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1307993505 is an abundant number, since it is smaller than the sum of its proper divisors (1327934559).

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

1307993505 is a wasteful number, since it uses less digits than its factorization.

1307993505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 127575, while the sum is 42.

The square root of 1307993505 is about 36166.1928463586. The cubic root of 1307993505 is about 1093.6252508388.

The spelling of 1307993505 in words is "one billion, three hundred seven million, nine hundred ninety-three thousand, five hundred five".