Search a number
-
+
52504510133 is a prime number
BaseRepresentation
bin110000111001100000…
…110011111010110101
312000112010111110122102
4300321200303322311
51330012123311013
640041545511445
73536052654365
oct607140637265
9160463443572
1052504510133
11202a3477639
12a2137a2585
134c498bac9a
1427811d69a5
1515746b1d58
hexc39833eb5

52504510133 has 2 divisors, whose sum is σ = 52504510134. Its totient is φ = 52504510132.

The previous prime is 52504510129. The next prime is 52504510231. The reversal of 52504510133 is 33101540525.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36958909009 + 15545601124 = 192247^2 + 124682^2 .

It is a cyclic number.

It is not a de Polignac number, because 52504510133 - 22 = 52504510129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 52504510096 and 52504510105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52504510103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26252255066 + 26252255067.

It is an arithmetic number, because the mean of its divisors is an integer number (26252255067).

Almost surely, 252504510133 is an apocalyptic number.

It is an amenable number.

52504510133 is a deficient number, since it is larger than the sum of its proper divisors (1).

52504510133 is an equidigital number, since it uses as much as digits as its factorization.

52504510133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9000, while the sum is 29.

The spelling of 52504510133 in words is "fifty-two billion, five hundred four million, five hundred ten thousand, one hundred thirty-three".