Search a number
-
+
57952765369 is a prime number
BaseRepresentation
bin110101111110010000…
…010000010110111001
312112120211100111210101
4311332100100112321
51422141401442434
642342332515401
74121060243422
oct657620202671
9175524314711
1057952765369
1122639909414
12b29431bb61
135607585355
142b3aa20649
151792b5eb14
hexd7e4105b9

57952765369 has 2 divisors, whose sum is σ = 57952765370. Its totient is φ = 57952765368.

The previous prime is 57952765361. The next prime is 57952765397. The reversal of 57952765369 is 96356725975.

57952765369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55690336144 + 2262429225 = 235988^2 + 47565^2 .

It is a cyclic number.

It is not a de Polignac number, because 57952765369 - 23 = 57952765361 is a prime.

It is a super-2 number, since 2×579527653692 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57952765369.

It is not a weakly prime, because it can be changed into another prime (57952765361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28976382684 + 28976382685.

It is an arithmetic number, because the mean of its divisors is an integer number (28976382685).

Almost surely, 257952765369 is an apocalyptic number.

It is an amenable number.

57952765369 is a deficient number, since it is larger than the sum of its proper divisors (1).

57952765369 is an equidigital number, since it uses as much as digits as its factorization.

57952765369 is an evil number, because the sum of its binary digits is even.

The product of its digits is 107163000, while the sum is 64.

The spelling of 57952765369 in words is "fifty-seven billion, nine hundred fifty-two million, seven hundred sixty-five thousand, three hundred sixty-nine".