84558242521 has 27 divisors (see below), whose sum is σ = 90652276351. Its totient is φ = 78866629424.

The previous prime is 84558242501. The next prime is 84558242563. The reversal of 84558242521 is 12524285548.

The square root of 84558242521 is 290789.

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

It can be written as a sum of positive squares in only one way, i.e., 5563518921 + 78994723600 = 74589^2 + 281060^2 .

It is not a de Polignac number, because 84558242521 - 2⁹ = 84558242009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84558242501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 314342775 + ... + 314343043.

Almost surely, 2^84558242521 is an apocalyptic number.

84558242521 is the 290789-th square number.

84558242521 is the 145395-th centered octagonal number.

It is an amenable number.

84558242521 is a deficient number, since it is larger than the sum of its proper divisors (6094033830).

84558242521 is an frugal number, since it uses more digits than its factorization.

84558242521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 339 counting only the distinct ones).

The product of its digits is 1024000, while the sum is 46.

The spelling of 84558242521 in words is "eighty-four billion, five hundred fifty-eight million, two hundred forty-two thousand, five hundred twenty-one".