58305412413 has 128 divisors (see below), whose sum is σ = 94532520960. Its totient is φ = 35424829440.

The previous prime is 58305412393. The next prime is 58305412433. The reversal of 58305412413 is 31421450385.

58305412413 is a `hidden beast` number, since 5 + 83 + 0 + 541 + 24 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (58305412393) and next prime (58305412433).

It is not a de Polignac number, because 58305412413 - 2⁵ = 58305412381 is a prime.

It is a super-2 number, since 2×58305412413² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58305412433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 226869181 + ... + 226869437.

It is an arithmetic number, because the mean of its divisors is an integer number (738535320).

Almost surely, 2^58305412413 is an apocalyptic number.

58305412413 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

58305412413 is a deficient number, since it is larger than the sum of its proper divisors (36227108547).

58305412413 is a wasteful number, since it uses less digits than its factorization.

58305412413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 58305412413 its reverse (31421450385), we get a palindrome (89726862798).

The spelling of 58305412413 in words is "fifty-eight billion, three hundred five million, four hundred twelve thousand, four hundred thirteen".