9935742713 has 36 divisors (see below), whose sum is σ = 11441544300. Its totient is φ = 8622536832.

The previous prime is 9935742683. The next prime is 9935742743. The reversal of 9935742713 is 3172475399.

It is an interprime number because it is at equal distance from previous prime (9935742683) and next prime (9935742743).

It can be written as a sum of positive squares in 6 ways, for example, as 740275264 + 9195467449 = 27208^2 + 95893^2 .

It is a de Polignac number, because none of the positive numbers 2^k-9935742713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9935742743) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9089795 + ... + 9090887.

It is an arithmetic number, because the mean of its divisors is an integer number (317820675).

Almost surely, 2^9935742713 is an apocalyptic number.

It is an amenable number.

9935742713 is a deficient number, since it is larger than the sum of its proper divisors (1505801587).

9935742713 is a wasteful number, since it uses less digits than its factorization.

9935742713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1274 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 50.

The square root of 9935742713 is about 99678.1957752045. The cubic root of 9935742713 is about 2149.8101662570.

The spelling of 9935742713 in words is "nine billion, nine hundred thirty-five million, seven hundred forty-two thousand, seven hundred thirteen".