Search a number
-
+
61813880753 is a prime number
BaseRepresentation
bin111001100100011001…
…001111011110110001
312220112220201111100212
4321210121033132301
52003043323141003
644221421553505
74315543213532
oct714431173661
9186486644325
1061813880753
1124240362569
12bb91415895
135aa149a301
142dc5740689
15191baeddd8
hexe6464f7b1

61813880753 has 2 divisors, whose sum is σ = 61813880754. Its totient is φ = 61813880752.

The previous prime is 61813880731. The next prime is 61813880783. The reversal of 61813880753 is 35708831816.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54590920609 + 7222960144 = 233647^2 + 84988^2 .

It is a cyclic number.

It is not a de Polignac number, because 61813880753 - 220 = 61812832177 is a prime.

It is a super-3 number, since 3×618138807533 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (61813880783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30906940376 + 30906940377.

It is an arithmetic number, because the mean of its divisors is an integer number (30906940377).

Almost surely, 261813880753 is an apocalyptic number.

It is an amenable number.

61813880753 is a deficient number, since it is larger than the sum of its proper divisors (1).

61813880753 is an equidigital number, since it uses as much as digits as its factorization.

61813880753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 61813880753 in words is "sixty-one billion, eight hundred thirteen million, eight hundred eighty thousand, seven hundred fifty-three".