Search a number
-
+
25100505329 is a prime number
BaseRepresentation
bin10111011000000110…
…110101000011110001
32101210022000210012112
4113120012311003301
5402401212132304
615310410535105
71546004526554
oct273006650361
971708023175
1025100505329
11a710643189
124a46137495
1324a02c6023
14130186a69b
159bd926b6e
hex5d81b50f1

25100505329 has 2 divisors, whose sum is σ = 25100505330. Its totient is φ = 25100505328.

The previous prime is 25100505301. The next prime is 25100505349. The reversal of 25100505329 is 92350500152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23055385600 + 2045119729 = 151840^2 + 45223^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-25100505329 is a prime.

It is a super-3 number, since 3×251005053293 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25100505295 and 25100505304.

It is not a weakly prime, because it can be changed into another prime (25100505349) 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, 12550252664 + 12550252665.

It is an arithmetic number, because the mean of its divisors is an integer number (12550252665).

Almost surely, 225100505329 is an apocalyptic number.

It is an amenable number.

25100505329 is a deficient number, since it is larger than the sum of its proper divisors (1).

25100505329 is an equidigital number, since it uses as much as digits as its factorization.

25100505329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13500, while the sum is 32.

The spelling of 25100505329 in words is "twenty-five billion, one hundred million, five hundred five thousand, three hundred twenty-nine".