1307135248407 has 24 divisors (see below), whose sum is σ = 1932280082304. Its totient is φ = 851031440784.

The previous prime is 1307135248387. The next prime is 1307135248451. The reversal of 1307135248407 is 7048425317031.

1307135248407 is a `hidden beast` number, since 1 + 30 + 7 + 13 + 524 + 84 + 0 + 7 = 666.

It is not a de Polignac number, because 1307135248407 - 2¹⁴ = 1307135232023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307135248457) 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 23 ways as a sum of consecutive naturals, for example, 2394678 + ... + 2889420.

It is an arithmetic number, because the mean of its divisors is an integer number (80511670096).

Almost surely, 2^{1307135248407} is an apocalyptic number.

1307135248407 is a deficient number, since it is larger than the sum of its proper divisors (625144833897).

1307135248407 is a wasteful number, since it uses less digits than its factorization.

1307135248407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501619 (or 501616 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1307135248407 in words is "one trillion, three hundred seven billion, one hundred thirty-five million, two hundred forty-eight thousand, four hundred seven".