580871098201 has 27 divisors (see below), whose sum is σ = 617586146359. Its totient is φ = 546308403200.

The previous prime is 580871098187. The next prime is 580871098207. The reversal of 580871098201 is 102890178085.

The square root of 580871098201 is 762149.

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

It can be written as a sum of positive squares in 13 ways, for example, as 331890057801 + 248981040400 = 576099^2 + 498980^2 .

It is not a de Polignac number, because 580871098201 - 2¹⁷ = 580870967129 is a prime.

It is a super-2 number, since 2×580871098201² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (580871098207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 906194841 + ... + 906195481.

Almost surely, 2^580871098201 is an apocalyptic number.

580871098201 is the 762149-th square number.

580871098201 is the 381075-th centered octagonal number.

It is an amenable number.

580871098201 is a deficient number, since it is larger than the sum of its proper divisors (36715048158).

580871098201 is an frugal number, since it uses more digits than its factorization.

580871098201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 49.

Multiplying 580871098201 by its sum of digits (49), we get a square (28462683811849 = 5335043²).

The spelling of 580871098201 in words is "five hundred eighty billion, eight hundred seventy-one million, ninety-eight thousand, two hundred one".