10206577232073 has 48 divisors (see below), whose sum is σ = 15781235184000. Its totient is φ = 6344864596224.

The previous prime is 10206577232029. The next prime is 10206577232081. The reversal of 10206577232073 is 37023277560201.

It is a happy number.

10206577232073 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 577 + 2 + 3 + 2 + 0 + 73 = 666.

It is not a de Polignac number, because 10206577232073 - 2¹³ = 10206577223881 is a prime.

It is a super-3 number, since 3×10206577232073³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10206577242073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4110333 + ... + 6108026.

It is an arithmetic number, because the mean of its divisors is an integer number (328775733000).

Almost surely, 2^{10206577232073} is an apocalyptic number.

It is an amenable number.

10206577232073 is a deficient number, since it is larger than the sum of its proper divisors (5574657951927).

10206577232073 is a wasteful number, since it uses less digits than its factorization.

10206577232073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10218526 (or 10218523 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 10206577232073 in words is "ten trillion, two hundred six billion, five hundred seventy-seven million, two hundred thirty-two thousand, seventy-three".