10050075313 has 8 divisors (see below), whose sum is σ = 10224977256. Its totient is φ = 9875500800.

The previous prime is 10050075293. The next prime is 10050075319. The reversal of 10050075313 is 31357005001.

10050075313 = 70887² + 70888².

It can be written as a sum of positive squares in 4 ways, for example, as 3242505249 + 6807570064 = 56943^2 + 82508^2 .

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 10050075313 - 2¹³ = 10050067121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10050075319) 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 7 ways as a sum of consecutive naturals, for example, 19528 + ... + 143113.

It is an arithmetic number, because the mean of its divisors is an integer number (1278122157).

Almost surely, 2^10050075313 is an apocalyptic number.

10050075313 is the 70888-th centered square number.

It is an amenable number.

10050075313 is a deficient number, since it is larger than the sum of its proper divisors (174901943).

10050075313 is a wasteful number, since it uses less digits than its factorization.

10050075313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163715.

The product of its (nonzero) digits is 1575, while the sum is 25.

The spelling of 10050075313 in words is "ten billion, fifty million, seventy-five thousand, three hundred thirteen".