58829412401 has 2 divisors, whose sum is σ = 58829412402. Its totient is φ = 58829412400.

The previous prime is 58829412319. The next prime is 58829412409. The reversal of 58829412401 is 10421492885.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53536704400 + 5292708001 = 231380^2 + 72751^2 .

It is a cyclic number.

It is not a de Polignac number, because 58829412401 - 2¹⁸ = 58829150257 is a prime.

It is not a weakly prime, because it can be changed into another prime (58829412409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29414706200 + 29414706201.

It is an arithmetic number, because the mean of its divisors is an integer number (29414706201).

Almost surely, 2^58829412401 is an apocalyptic number.

It is an amenable number.

58829412401 is a deficient number, since it is larger than the sum of its proper divisors (1).

58829412401 is an equidigital number, since it uses as much as digits as its factorization.

58829412401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 184320, while the sum is 44.

The spelling of 58829412401 in words is "fifty-eight billion, eight hundred twenty-nine million, four hundred twelve thousand, four hundred one".