221755170072051 has 128 divisors (see below), whose sum is σ = 410897730355200. Its totient is φ = 114830395200000.

The previous prime is 221755170072001. The next prime is 221755170072071. The reversal of 221755170072051 is 150270071557122.

221755170072051 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 551 + 70 + 0 + 7 + 20 + 5 + 1 = 666.

It is not a de Polignac number, because 221755170072051 - 2¹⁰ = 221755170071027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221755170071988 and 221755170072006.

It is not an unprimeable number, because it can be changed into a prime (221755170072001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1209576570 + ... + 1209759888.

It is an arithmetic number, because the mean of its divisors is an integer number (3210138518400).

Almost surely, 2^{221755170072051} is an apocalyptic number.

221755170072051 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221755170072051 is a deficient number, since it is larger than the sum of its proper divisors (189142560283149).

221755170072051 is a wasteful number, since it uses less digits than its factorization.

221755170072051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185198 (or 185192 counting only the distinct ones).

The product of its (nonzero) digits is 343000, while the sum is 45.

The spelling of 221755170072051 in words is "two hundred twenty-one trillion, seven hundred fifty-five billion, one hundred seventy million, seventy-two thousand, fifty-one".