Search a number
-
+
58525993 is a prime number
BaseRepresentation
bin1101111101000…
…0100100101001
311002010102120101
43133100210221
5104440312433
65450225401
71310314501
oct337204451
9132112511
1058525993
1130044499
1217725261
13c182086
147ab6a01
15521107d
hex37d0929

58525993 has 2 divisors, whose sum is σ = 58525994. Its totient is φ = 58525992.

The previous prime is 58525991. The next prime is 58525997. The reversal of 58525993 is 39952585.

58525993 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., 29452329 + 29073664 = 5427^2 + 5392^2 .

It is a cyclic number.

It is not a de Polignac number, because 58525993 - 21 = 58525991 is a prime.

Together with 58525991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (58525991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29262996 + 29262997.

It is an arithmetic number, because the mean of its divisors is an integer number (29262997).

Almost surely, 258525993 is an apocalyptic number.

It is an amenable number.

58525993 is a deficient number, since it is larger than the sum of its proper divisors (1).

58525993 is an equidigital number, since it uses as much as digits as its factorization.

58525993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486000, while the sum is 46.

The square root of 58525993 is about 7650.2282972471. The cubic root of 58525993 is about 388.2542904734.

The spelling of 58525993 in words is "fifty-eight million, five hundred twenty-five thousand, nine hundred ninety-three".