58197220081 has 81 divisors (see below), whose sum is σ = 80912839329. Its totient is φ = 41686444800.

The previous prime is 58197220073. The next prime is 58197220127. The reversal of 58197220081 is 18002279185.

It is a happy number.

The square root of 58197220081 is 241241.

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

It can be written as a sum of positive squares in 4 ways, for example, as 925072225 + 57272147856 = 30415^2 + 239316^2 .

It is not a de Polignac number, because 58197220081 - 2³ = 58197220073 is a prime.

It is a super-3 number, since 3×58197220081³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (58197220681) 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 80 ways as a sum of consecutive naturals, for example, 241482121 + ... + 241482361.

Almost surely, 2^58197220081 is an apocalyptic number.

58197220081 is the 241241-st square number.

58197220081 is the 120621-st centered octagonal number.

It is an amenable number.

58197220081 is a deficient number, since it is larger than the sum of its proper divisors (22715619248).

58197220081 is a wasteful number, since it uses less digits than its factorization.

58197220081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

The spelling of 58197220081 in words is "fifty-eight billion, one hundred ninety-seven million, two hundred twenty thousand, eighty-one".