Search a number
-
+
258252777793 is a prime number
BaseRepresentation
bin1111000010000100010…
…0001010100101000001
3220200121002011101222001
43300201010022211001
513212400202342133
6314350101144001
724441513251263
oct3604104124501
9820532141861
10258252777793
119a584a6236a
12420743bb001
131b478aa7b6a
14c6dc8b9b33
156ab75e687d
hex3c2110a941

258252777793 has 2 divisors, whose sum is σ = 258252777794. Its totient is φ = 258252777792.

The previous prime is 258252777733. The next prime is 258252777803. The reversal of 258252777793 is 397777252852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256752997264 + 1499780529 = 506708^2 + 38727^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-258252777793 is a prime.

It is not a weakly prime, because it can be changed into another prime (258252777733) 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, 129126388896 + 129126388897.

It is an arithmetic number, because the mean of its divisors is an integer number (129126388897).

Almost surely, 2258252777793 is an apocalyptic number.

It is an amenable number.

258252777793 is a deficient number, since it is larger than the sum of its proper divisors (1).

258252777793 is an equidigital number, since it uses as much as digits as its factorization.

258252777793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 103723200, while the sum is 64.

The spelling of 258252777793 in words is "two hundred fifty-eight billion, two hundred fifty-two million, seven hundred seventy-seven thousand, seven hundred ninety-three".