59173968049 has 81 divisors (see below), whose sum is σ = 76361597721. Its totient is φ = 45712855440.

The previous prime is 59173968047. The next prime is 59173968127. The reversal of 59173968049 is 94086937195.

The square root of 59173968049 is 243257.

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

It is not a de Polignac number, because 59173968049 - 2¹ = 59173968047 is a prime.

It is a super-3 number, since 3×59173968049³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (59173968047) 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 80 ways as a sum of consecutive naturals, for example, 1002948582 + ... + 1002948640.

Almost surely, 2^59173968049 is an apocalyptic number.

59173968049 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

59173968049 is the 243257-th square number.

59173968049 is the 121629-th centered octagonal number.

It is an amenable number.

59173968049 is a deficient number, since it is larger than the sum of its proper divisors (17187629672).

59173968049 is an equidigital number, since it uses as much as digits as its factorization.

59173968049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 61.

The spelling of 59173968049 in words is "fifty-nine billion, one hundred seventy-three million, nine hundred sixty-eight thousand, forty-nine".