10221753505 has 8 divisors (see below), whose sum is σ = 12354350400. Its totient is φ = 8118572016.

The previous prime is 10221753497. The next prime is 10221753527. The reversal of 10221753505 is 50535712201.

10221753505 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 10221753505 - 2³ = 10221753497 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7353085 + ... + 7354474.

It is an arithmetic number, because the mean of its divisors is an integer number (1544293800).

Almost surely, 2^10221753505 is an apocalyptic number.

It is an amenable number.

10221753505 is a deficient number, since it is larger than the sum of its proper divisors (2132596895).

10221753505 is a wasteful number, since it uses less digits than its factorization.

10221753505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14707703.

The product of its (nonzero) digits is 10500, while the sum is 31.

The spelling of 10221753505 in words is "ten billion, two hundred twenty-one million, seven hundred fifty-three thousand, five hundred five".