42214222521 has 45 divisors (see below), whose sum is σ = 64916372829. Its totient is φ = 27337818816.

The previous prime is 42214222489. The next prime is 42214222529. The reversal of 42214222521 is 12522241224.

The square root of 42214222521 is 205461.

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

42214222521 is a `hidden beast` number, since 422 + 14 + 2 + 225 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1062042921 + 41152179600 = 32589^2 + 202860^2 .

It is not a de Polignac number, because 42214222521 - 2⁵ = 42214222489 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42214222529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 68418205 + ... + 68418821.

Almost surely, 2^42214222521 is an apocalyptic number.

42214222521 is the 205461-st square number.

42214222521 is the 102731-st centered octagonal number.

It is an amenable number.

42214222521 is a deficient number, since it is larger than the sum of its proper divisors (22702150308).

42214222521 is an frugal number, since it uses more digits than its factorization.

42214222521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 657 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

Adding to 42214222521 its reverse (12522241224), we get a palindrome (54736463745).

The spelling of 42214222521 in words is "forty-two billion, two hundred fourteen million, two hundred twenty-two thousand, five hundred twenty-one".