221421251727225 has 216 divisors, whose sum is σ = 445489675030400. Its totient is φ = 105024265632000.

The previous prime is 221421251727217. The next prime is 221421251727337. The reversal of 221421251727225 is 522727152124122.

221421251727225 is a `hidden beast` number, since 2 + 2 + 1 + 42 + 1 + 2 + 517 + 2 + 72 + 25 = 666.

221421251727225 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 not a de Polignac number, because 221421251727225 - 2³ = 221421251727217 is a prime.

It is a super-2 number, since 2×221421251727225² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 233962230 + ... + 234906720.

Almost surely, 2^{221421251727225} is an apocalyptic number.

221421251727225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221421251727225 is an abundant number, since it is smaller than the sum of its proper divisors (224068423303175).

221421251727225 is a wasteful number, since it uses less digits than its factorization.

221421251727225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944717 (or 944698 counting only the distinct ones).

The product of its digits is 627200, while the sum is 45.

The spelling of 221421251727225 in words is "two hundred twenty-one trillion, four hundred twenty-one billion, two hundred fifty-one million, seven hundred twenty-seven thousand, two hundred twenty-five".