221552715627261 has 32 divisors (see below), whose sum is σ = 330186490992000. Its totient is φ = 146821730088960.

The previous prime is 221552715627233. The next prime is 221552715627349. The reversal of 221552715627261 is 162726517255122.

221552715627261 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 5 + 2 + 7 + 1 + 5 + 627 + 2 + 6 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-221552715627261 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221552715627198 and 221552715627207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221552715627461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24268086 + ... + 32125463.

It is an arithmetic number, because the mean of its divisors is an integer number (10318327843500).

Almost surely, 2^{221552715627261} is an apocalyptic number.

It is an amenable number.

221552715627261 is a deficient number, since it is larger than the sum of its proper divisors (108633775364739).

221552715627261 is a wasteful number, since it uses less digits than its factorization.

221552715627261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56394426 (or 56394420 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The spelling of 221552715627261 in words is "two hundred twenty-one trillion, five hundred fifty-two billion, seven hundred fifteen million, six hundred twenty-seven thousand, two hundred sixty-one".