9805142513 has 8 divisors (see below), whose sum is σ = 10399200840. Its totient is φ = 9213004800.

The previous prime is 9805142453. The next prime is 9805142521. The reversal of 9805142513 is 3152415089.

It is a happy number.

9805142513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4013475904 + 5791666609 = 63352^2 + 76103^2 .

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 9805142513 - 2⁶ = 9805142449 is a prime.

It is a super-2 number, since 2×9805142513² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9805142573) 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 7 ways as a sum of consecutive naturals, for example, 469628 + ... + 490061.

It is an arithmetic number, because the mean of its divisors is an integer number (1299900105).

Almost surely, 2^9805142513 is an apocalyptic number.

It is an amenable number.

9805142513 is a deficient number, since it is larger than the sum of its proper divisors (594058327).

9805142513 is a wasteful number, since it uses less digits than its factorization.

9805142513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960307.

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 9805142513 is about 99020.9195725832. The cubic root of 9805142513 is about 2140.3492102696.

The spelling of 9805142513 in words is "nine billion, eight hundred five million, one hundred forty-two thousand, five hundred thirteen".