9635312413 has 16 divisors (see below), whose sum is σ = 10042214400. Its totient is φ = 9236405376.

The previous prime is 9635312369. The next prime is 9635312429. The reversal of 9635312413 is 3142135369.

It is the 40074-th star number.

It is a cyclic number.

It is not a de Polignac number, because 9635312413 - 2²⁹ = 9098441501 is a prime.

It is a super-2 number, since 2×9635312413² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9635312473) 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 15 ways as a sum of consecutive naturals, for example, 4015188 + ... + 4017586.

It is an arithmetic number, because the mean of its divisors is an integer number (627638400).

Almost surely, 2^9635312413 is an apocalyptic number.

It is an amenable number.

9635312413 is a deficient number, since it is larger than the sum of its proper divisors (406901987).

9635312413 is a wasteful number, since it uses less digits than its factorization.

9635312413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996.

The product of its digits is 58320, while the sum is 37.

The square root of 9635312413 is about 98159.6272048748. The cubic root of 9635312413 is about 2127.9198551474.

The spelling of 9635312413 in words is "nine billion, six hundred thirty-five million, three hundred twelve thousand, four hundred thirteen".