Search a number
-
+
253420124341249 is a prime number
BaseRepresentation
bin111001100111101111111000…
…011111011000010000000001
31020020021201122012010102112101
4321213233320133120100001
5231204013403312404444
62254551333053030401
7104243666632212625
oct7147577037302001
91206251565112471
10253420124341249
11738249645a5998
122450a626a85401
13ab535522118c8
144681856cd9185
151e4708b9693d4
hexe67bf87d8401

253420124341249 has 2 divisors, whose sum is σ = 253420124341250. Its totient is φ = 253420124341248.

The previous prime is 253420124341211. The next prime is 253420124341277. The reversal of 253420124341249 is 942143421024352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218320364846224 + 35099759495025 = 14775668^2 + 5924505^2 .

It is a cyclic number.

It is not a de Polignac number, because 253420124341249 - 211 = 253420124339201 is a prime.

It is a super-2 number, since 2×2534201243412492 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253420124341199 and 253420124341208.

It is not a weakly prime, because it can be changed into another prime (253420124341289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126710062170624 + 126710062170625.

It is an arithmetic number, because the mean of its divisors is an integer number (126710062170625).

Almost surely, 2253420124341249 is an apocalyptic number.

It is an amenable number.

253420124341249 is a deficient number, since it is larger than the sum of its proper divisors (1).

253420124341249 is an equidigital number, since it uses as much as digits as its factorization.

253420124341249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 253420124341249 in words is "two hundred fifty-three trillion, four hundred twenty billion, one hundred twenty-four million, three hundred forty-one thousand, two hundred forty-nine".