Search a number
-
+
24513122561 is a prime number
BaseRepresentation
bin10110110101000110…
…001001000100000001
32100021100202122112012
4112311012021010001
5400200324410221
615132225142305
71525313050424
oct266506110401
970240678465
1024513122561
11a43a022884
12490148a995
1324086c7365
1412878499bb
1598709c65b
hex5b5189101

24513122561 has 2 divisors, whose sum is σ = 24513122562. Its totient is φ = 24513122560.

The previous prime is 24513122539. The next prime is 24513122587. The reversal of 24513122561 is 16522131542.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20379275536 + 4133847025 = 142756^2 + 64295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-24513122561 is a prime.

It is a super-3 number, since 3×245131225613 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (24513121561) 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, 12256561280 + 12256561281.

It is an arithmetic number, because the mean of its divisors is an integer number (12256561281).

Almost surely, 224513122561 is an apocalyptic number.

It is an amenable number.

24513122561 is a deficient number, since it is larger than the sum of its proper divisors (1).

24513122561 is an equidigital number, since it uses as much as digits as its factorization.

24513122561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14400, while the sum is 32.

The spelling of 24513122561 in words is "twenty-four billion, five hundred thirteen million, one hundred twenty-two thousand, five hundred sixty-one".