8242175904561 has 135 divisors (see below), whose sum is σ = 13202894387529. Its totient is φ = 5123419080048.

The previous prime is 8242175904539. The next prime is 8242175904577. The reversal of 8242175904561 is 1654095712428.

The square root of 8242175904561 is 2870919.

It is a perfect power (a square), and thus also a powerful number.

8242175904561 is a `hidden beast` number, since 8 + 2 + 4 + 2 + 1 + 7 + 590 + 45 + 6 + 1 = 666.

It is not a de Polignac number, because 8242175904561 - 2¹⁵ = 8242175871793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8242175904498 and 8242175904507.

It is not an unprimeable number, because it can be changed into a prime (8242175904661) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 50565496266 + ... + 50565496428.

Almost surely, 2^{8242175904561} is an apocalyptic number.

8242175904561 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8242175904561 is the 2870919-th square number.

8242175904561 is the 1435460-th centered octagonal number.

It is an amenable number.

8242175904561 is a deficient number, since it is larger than the sum of its proper divisors (4960718482968).

8242175904561 is an equidigital number, since it uses as much as digits as its factorization.

8242175904561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 8242175904561 in words is "eight trillion, two hundred forty-two billion, one hundred seventy-five million, nine hundred four thousand, five hundred sixty-one".