9504757813 has 8 divisors (see below), whose sum is σ = 9683821656. Its totient is φ = 9327360000.

The previous prime is 9504757799. The next prime is 9504757837. The reversal of 9504757813 is 3187574059.

9504757813 = 68937² + 68938².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2907582084 + 6597175729 = 53922^2 + 81223^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9504757813 - 2⁵ = 9504757781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9504757853) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404988 + ... + 427813.

It is an arithmetic number, because the mean of its divisors is an integer number (1210477707).

Almost surely, 2^9504757813 is an apocalyptic number.

9504757813 is the 68938-th centered square number.

It is an amenable number.

9504757813 is a deficient number, since it is larger than the sum of its proper divisors (179063843).

9504757813 is a wasteful number, since it uses less digits than its factorization.

9504757813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833015.

The product of its (nonzero) digits is 1058400, while the sum is 49.

The square root of 9504757813 is about 97492.3474586595. The cubic root of 9504757813 is about 2118.2652990231.

The spelling of 9504757813 in words is "nine billion, five hundred four million, seven hundred fifty-seven thousand, eight hundred thirteen".