58129692201 has 135 divisors (see below), whose sum is σ = 104591784231. Its totient is φ = 32079934656.

The previous prime is 58129692193. The next prime is 58129692209. The reversal of 58129692201 is 10229692185.

It is a happy number.

The square root of 58129692201 is 241101.

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

58129692201 is a `hidden beast` number, since 581 + 2 + 9 + 69 + 2 + 2 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (58129692193) and next prime (58129692209).

It can be written as a sum of positive squares in only one way, i.e., 11162133801 + 46967558400 = 105651^2 + 216720^2 .

It is not a de Polignac number, because 58129692201 - 2³ = 58129692193 is a prime.

It is a super-2 number, since 2×58129692201² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (58129692209) 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 134 ways as a sum of consecutive naturals, for example, 653142565 + ... + 653142653.

Almost surely, 2^58129692201 is an apocalyptic number.

58129692201 is the 241101-st square number.

58129692201 is the 120551-st centered octagonal number.

It is an amenable number.

58129692201 is a deficient number, since it is larger than the sum of its proper divisors (46462092030).

58129692201 is an frugal number, since it uses more digits than its factorization.

58129692201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 58129692201 in words is "fifty-eight billion, one hundred twenty-nine million, six hundred ninety-two thousand, two hundred one".