10573105754513 has 8 divisors (see below), whose sum is σ = 10751408390376. Its totient is φ = 10394963539200.

The previous prime is 10573105754507. The next prime is 10573105754527. The reversal of 10573105754513 is 31545750137501.

It can be written as a sum of positive squares in 4 ways, for example, as 2045964058384 + 8527141696129 = 1430372^2 + 2920127^2 .

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 10573105754513 - 2²⁰ = 10573104705937 is a prime.

It is a super-3 number, since 3×10573105754513³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10573105754543) 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, 39972206 + ... + 40235847.

It is an arithmetic number, because the mean of its divisors is an integer number (1343926048797).

Almost surely, 2^{10573105754513} is an apocalyptic number.

It is an amenable number.

10573105754513 is a deficient number, since it is larger than the sum of its proper divisors (178302635863).

10573105754513 is an equidigital number, since it uses as much as digits as its factorization.

10573105754513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80210275.

The product of its (nonzero) digits is 1102500, while the sum is 47.

The spelling of 10573105754513 in words is "ten trillion, five hundred seventy-three billion, one hundred five million, seven hundred fifty-four thousand, five hundred thirteen".