10035551340513 has 24 divisors (see below), whose sum is σ = 14538711882240. Its totient is φ = 6670566915840.

The previous prime is 10035551340491. The next prime is 10035551340601. The reversal of 10035551340513 is 31504315553001.

10035551340513 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 5 + 5 + 5 + 134 + 0 + 513 = 666.

It is not a de Polignac number, because 10035551340513 - 2⁵ = 10035551340481 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10035551342513) 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 23 ways as a sum of consecutive naturals, for example, 18442545 + ... + 18978897.

It is an arithmetic number, because the mean of its divisors is an integer number (605779661760).

Almost surely, 2^{10035551340513} is an apocalyptic number.

It is an amenable number.

10035551340513 is a deficient number, since it is larger than the sum of its proper divisors (4503160541727).

10035551340513 is a wasteful number, since it uses less digits than its factorization.

10035551340513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542509 (or 542506 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Adding to 10035551340513 its reverse (31504315553001), we get a palindrome (41539866893514).

The spelling of 10035551340513 in words is "ten trillion, thirty-five billion, five hundred fifty-one million, three hundred forty thousand, five hundred thirteen".