Search a number
-
+
2053531313 is a prime number
BaseRepresentation
bin111101001100110…
…0110011010110001
312022010002012101022
41322121212122301
513201201000223
6535434145225
7101613504521
oct17231463261
95263065338
102053531313
1196418a519
12493882215
1326959abb2
14156a31681
15c0438ac8
hex7a6666b1

2053531313 has 2 divisors, whose sum is σ = 2053531314. Its totient is φ = 2053531312.

The previous prime is 2053531301. The next prime is 2053531369. The reversal of 2053531313 is 3131353502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1731974689 + 321556624 = 41617^2 + 17932^2 .

It is a cyclic number.

It is not a de Polignac number, because 2053531313 - 24 = 2053531297 is a prime.

It is not a weakly prime, because it can be changed into another prime (2053531393) 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, 1026765656 + 1026765657.

It is an arithmetic number, because the mean of its divisors is an integer number (1026765657).

Almost surely, 22053531313 is an apocalyptic number.

It is an amenable number.

2053531313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2053531313 is an equidigital number, since it uses as much as digits as its factorization.

2053531313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4050, while the sum is 26.

The square root of 2053531313 is about 45315.9057395966. The cubic root of 2053531313 is about 1271.0630966651.

Adding to 2053531313 its reverse (3131353502), we get a palindrome (5184884815).

The spelling of 2053531313 in words is "two billion, fifty-three million, five hundred thirty-one thousand, three hundred thirteen".