58580001121 has 2 divisors, whose sum is σ = 58580001122. Its totient is φ = 58580001120.

The previous prime is 58580001119. The next prime is 58580001163. The reversal of 58580001121 is 12110008585.

58580001121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58534963600 + 45037521 = 241940^2 + 6711^2 .

It is a cyclic number.

It is not a de Polignac number, because 58580001121 - 2¹ = 58580001119 is a prime.

It is a super-2 number, since 2×58580001121² (a number of 22 digits) contains 22 as substring.

Together with 58580001119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (58580004121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29290000560 + 29290000561.

It is an arithmetic number, because the mean of its divisors is an integer number (29290000561).

Almost surely, 2^58580001121 is an apocalyptic number.

It is an amenable number.

58580001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

58580001121 is an equidigital number, since it uses as much as digits as its factorization.

58580001121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3200, while the sum is 31.

The spelling of 58580001121 in words is "fifty-eight billion, five hundred eighty million, one thousand, one hundred twenty-one".