58507201 has 3 divisors (see below), whose sum is σ = 58514851. Its totient is φ = 58499552.

The previous prime is 58507171. The next prime is 58507247. The reversal of 58507201 is 10270585.

The square root of 58507201 is 7649.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 2556801 + 55950400 = 1599^2 + 7480^2 .

It is not a de Polignac number, because 58507201 - 2¹³ = 58499009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 58507201.

It is not an unprimeable number, because it can be changed into a prime (58507901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3825 + ... + 11473.

Almost surely, 2^58507201 is an apocalyptic number.

58507201 is the 7649-th square number.

58507201 is the 3825-th centered octagonal number.

It is an amenable number.

58507201 is a deficient number, since it is larger than the sum of its proper divisors (7650).

58507201 is an frugal number, since it uses more digits than its factorization.

58507201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15298 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The cubic root of 58507201 is about 388.2127314140.

Adding to 58507201 its reverse (10270585), we get a palindrome (68777786).

The spelling of 58507201 in words is "fifty-eight million, five hundred seven thousand, two hundred one".