10005502727333 has 8 divisors (see below), whose sum is σ = 10060890130200. Its totient is φ = 9950116515840.

The previous prime is 10005502727309. The next prime is 10005502727369. The reversal of 10005502727333 is 33372720550001.

10005502727333 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 59918717089 + 9945584010244 = 244783^2 + 3153662^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10005502727333 is a prime.

It is a super-2 number, since 2×10005502727333² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005502727393) 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, 20585093 + ... + 21065541.

It is an arithmetic number, because the mean of its divisors is an integer number (1257611266275).

Almost surely, 2^{10005502727333} is an apocalyptic number.

It is an amenable number.

10005502727333 is a deficient number, since it is larger than the sum of its proper divisors (55387402867).

10005502727333 is a wasteful number, since it uses less digits than its factorization.

10005502727333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595687.

The product of its (nonzero) digits is 132300, while the sum is 38.

The spelling of 10005502727333 in words is "ten trillion, five billion, five hundred two million, seven hundred twenty-seven thousand, three hundred thirty-three".