221761605052425 has 192 divisors, whose sum is σ = 389367728870400. Its totient is φ = 111245771366400.

The previous prime is 221761605052391. The next prime is 221761605052457. The reversal of 221761605052425 is 524250506167122.

It is a happy number.

It is not a de Polignac number, because 221761605052425 - 2⁹ = 221761605051913 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2759252641 + ... + 2759333009.

It is an arithmetic number, because the mean of its divisors is an integer number (2027956921200).

Almost surely, 2^{221761605052425} is an apocalyptic number.

221761605052425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221761605052425 is a deficient number, since it is larger than the sum of its proper divisors (167606123817975).

221761605052425 is a wasteful number, since it uses less digits than its factorization.

221761605052425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80776 (or 80771 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 221761605052425 in words is "two hundred twenty-one trillion, seven hundred sixty-one billion, six hundred five million, fifty-two thousand, four hundred twenty-five".