9453812513 has 32 divisors (see below), whose sum is σ = 10176661152. Its totient is φ = 8769945600.

The previous prime is 9453812497. The next prime is 9453812531. The reversal of 9453812513 is 3152183549.

9453812513 = 68752² + 68753².

It can be written as a sum of positive squares in 16 ways, for example, as 2702232289 + 6751580224 = 51983^2 + 82168^2 .

It is not a de Polignac number, because 9453812513 - 2⁴ = 9453812497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9453815513) 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 31 ways as a sum of consecutive naturals, for example, 9675881 + ... + 9676857.

It is an arithmetic number, because the mean of its divisors is an integer number (318020661).

Almost surely, 2^9453812513 is an apocalyptic number.

9453812513 is the 68753-rd centered square number.

It is an amenable number.

9453812513 is a deficient number, since it is larger than the sum of its proper divisors (722848639).

9453812513 is a wasteful number, since it uses less digits than its factorization.

9453812513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205.

The product of its digits is 129600, while the sum is 41.

The square root of 9453812513 is about 97230.7179496274. The cubic root of 9453812513 is about 2114.4738979860.

The spelling of 9453812513 in words is "nine billion, four hundred fifty-three million, eight hundred twelve thousand, five hundred thirteen".