Search a number
-
+
2253533761 is a prime number
BaseRepresentation
bin1000011001010010…
…0011001001000001
312211001102101011101
42012110203021001
514103401040021
61011341014401
7106562502163
oct20624431101
95731371141
102253533761
11a570742a6
1252a854401
1329bb5633b
14175414933
15d2c93a91
hex86523241

2253533761 has 2 divisors, whose sum is σ = 2253533762. Its totient is φ = 2253533760.

The previous prime is 2253533743. The next prime is 2253533771. The reversal of 2253533761 is 1673353522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1200206736 + 1053327025 = 34644^2 + 32455^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2253533761 is a prime.

It is a super-3 number, since 3×22535337613 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2253533761.

It is not a weakly prime, because it can be changed into another prime (2253533731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126766880 + 1126766881.

It is an arithmetic number, because the mean of its divisors is an integer number (1126766881).

Almost surely, 22253533761 is an apocalyptic number.

It is an amenable number.

2253533761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2253533761 is an equidigital number, since it uses as much as digits as its factorization.

2253533761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 113400, while the sum is 37.

The square root of 2253533761 is about 47471.3994000598. The cubic root of 2253533761 is about 1311.0563437413.

The spelling of 2253533761 in words is "two billion, two hundred fifty-three million, five hundred thirty-three thousand, seven hundred sixty-one".