58675857361 has 45 divisors (see below), whose sum is σ = 69212303979. Its totient is φ = 49705801200.

The previous prime is 58675857349. The next prime is 58675857379. The reversal of 58675857361 is 16375857685.

It is a happy number.

The square root of 58675857361 is 242231.

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., 1908029761 + 56767827600 = 43681^2 + 238260^2 .

It is not a de Polignac number, because 58675857361 - 2³³ = 50085922769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a self number, because there is not a number n which added to its sum of digits gives 58675857361.

It is not an unprimeable number, because it can be changed into a prime (58675858361) 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, 961899271 + ... + 961899331.

Almost surely, 2^58675857361 is an apocalyptic number.

58675857361 is the 242231-st square number.

58675857361 is the 121116-th centered octagonal number.

It is an amenable number.

58675857361 is a deficient number, since it is larger than the sum of its proper divisors (10536446618).

58675857361 is an frugal number, since it uses more digits than its factorization.

58675857361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 91 counting only the distinct ones).

The product of its digits is 42336000, while the sum is 61.

The spelling of 58675857361 in words is "fifty-eight billion, six hundred seventy-five million, eight hundred fifty-seven thousand, three hundred sixty-one".