Search a number
-
+
58253131 is a prime number
BaseRepresentation
bin1101111000110…
…1111101001011
311001121120021101
43132031331023
5104403100011
65440322231
71305100126
oct336157513
9131546241
1058253131
112a978492
1217613377
13c0b7b11
147a453bd
1551aa2c1
hex378df4b

58253131 has 2 divisors, whose sum is σ = 58253132. Its totient is φ = 58253130.

The previous prime is 58253077. The next prime is 58253137. The reversal of 58253131 is 13135285.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 58253131 - 217 = 58122059 is a prime.

It is a super-2 number, since 2×582531312 = 6786854542606322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58253131.

It is not a weakly prime, because it can be changed into another prime (58253137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29126565 + 29126566.

It is an arithmetic number, because the mean of its divisors is an integer number (29126566).

Almost surely, 258253131 is an apocalyptic number.

58253131 is a deficient number, since it is larger than the sum of its proper divisors (1).

58253131 is an equidigital number, since it uses as much as digits as its factorization.

58253131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3600, while the sum is 28.

The square root of 58253131 is about 7632.3738771106. The cubic root of 58253131 is about 387.6499726117.

The spelling of 58253131 in words is "fifty-eight million, two hundred fifty-three thousand, one hundred thirty-one".