59243073201 has 45 divisors (see below), whose sum is σ = 93850220139. Its totient is φ = 35995791312.

The previous prime is 59243073163. The next prime is 59243073209. The reversal of 59243073201 is 10237034295.

The square root of 59243073201 is 243399.

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

59243073201 is a `hidden beast` number, since 5 + 9 + 24 + 307 + 320 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8763768225 + 50479304976 = 93615^2 + 224676^2 .

It is not a de Polignac number, because 59243073201 - 2¹⁵ = 59243040433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (59243073209) 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, 749912280 + ... + 749912358.

Almost surely, 2^59243073201 is an apocalyptic number.

59243073201 is the 243399-th square number.

59243073201 is the 121700-th centered octagonal number.

It is an amenable number.

59243073201 is a deficient number, since it is larger than the sum of its proper divisors (34607146938).

59243073201 is an frugal number, since it uses more digits than its factorization.

59243073201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Multiplying 59243073201 by its sum of digits (36), we get a square (2132750635236 = 1460394²).

The spelling of 59243073201 in words is "fifty-nine billion, two hundred forty-three million, seventy-three thousand, two hundred one".