221525632512054 has 128 divisors (see below), whose sum is σ = 534050173762560. Its totient is φ = 67660536384000.

The previous prime is 221525632512049. The next prime is 221525632512091. The reversal of 221525632512054 is 450215236525122.

221525632512054 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 2 + 5 + 632 + 5 + 1 + 2 + 0 + 5 + 4 = 666.

221525632512054 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143500969 + ... + 145036475.

It is an arithmetic number, because the mean of its divisors is an integer number (4172266982520).

Almost surely, 2^{221525632512054} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221525632512054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267025086881280).

221525632512054 is an abundant number, since it is smaller than the sum of its proper divisors (312524541250506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221525632512054 is a wasteful number, since it uses less digits than its factorization.

221525632512054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537043 (or 1537037 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 221525632512054 in words is "two hundred twenty-one trillion, five hundred twenty-five billion, six hundred thirty-two million, five hundred twelve thousand, fifty-four".