Search a number
-
+
5737672753 is a prime number
BaseRepresentation
bin1010101011111110…
…11111000000110001
3112210212102222100021
411111333133000301
543222321012003
62345202123441
7262120261621
oct52577370061
915725388307
105737672753
11248484850a
121141650581
1370592b447
143c6044881
15238abb2bd
hex155fdf031

5737672753 has 2 divisors, whose sum is σ = 5737672754. Its totient is φ = 5737672752.

The previous prime is 5737672739. The next prime is 5737672757. The reversal of 5737672753 is 3572767375.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3367248784 + 2370423969 = 58028^2 + 48687^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5737672753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5737672753.

It is not a weakly prime, because it can be changed into another prime (5737672757) 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, 2868836376 + 2868836377.

It is an arithmetic number, because the mean of its divisors is an integer number (2868836377).

Almost surely, 25737672753 is an apocalyptic number.

It is an amenable number.

5737672753 is a deficient number, since it is larger than the sum of its proper divisors (1).

5737672753 is an equidigital number, since it uses as much as digits as its factorization.

5737672753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6482700, while the sum is 52.

The square root of 5737672753 is about 75747.4273688552. The cubic root of 5737672753 is about 1790.2427552751.

The spelling of 5737672753 in words is "five billion, seven hundred thirty-seven million, six hundred seventy-two thousand, seven hundred fifty-three".