Search a number
-
+
58958468053 is a prime number
BaseRepresentation
bin110110111010001100…
…101101001111010101
312122011220202111111221
4312322030231033111
51431221331434203
643030220330341
74155021465262
oct667214551725
9178156674457
1058958468053
1123005577761
12b5150a39b1
135737a3b0b4
142bd4414269
1518010baabd
hexdba32d3d5

58958468053 has 2 divisors, whose sum is σ = 58958468054. Its totient is φ = 58958468052.

The previous prime is 58958468039. The next prime is 58958468119. The reversal of 58958468053 is 35086485985.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34385397489 + 24573070564 = 185433^2 + 156758^2 .

It is a cyclic number.

It is not a de Polignac number, because 58958468053 - 25 = 58958468021 is a prime.

It is a super-2 number, since 2×589584680532 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58958467982 and 58958468000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58958468003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29479234026 + 29479234027.

It is an arithmetic number, because the mean of its divisors is an integer number (29479234027).

Almost surely, 258958468053 is an apocalyptic number.

It is an amenable number.

58958468053 is a deficient number, since it is larger than the sum of its proper divisors (1).

58958468053 is an equidigital number, since it uses as much as digits as its factorization.

58958468053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472000, while the sum is 61.

The spelling of 58958468053 in words is "fifty-eight billion, nine hundred fifty-eight million, four hundred sixty-eight thousand, fifty-three".