Search a number
-
+
253951 is a prime number
BaseRepresentation
bin111101111111111111
3110220100121
4331333333
531111301
65235411
72105245
oct757777
9426317
10253951
11163885
12102b67
138b789
1468795
15503a1
hex3dfff

253951 has 2 divisors, whose sum is σ = 253952. Its totient is φ = 253950.

The previous prime is 253949. The next prime is 253969. The reversal of 253951 is 159352.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 253951 - 21 = 253949 is a prime.

It is a super-3 number, since 3×2539513 = 49132745932333053, which contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 253949, it forms a pair of twin primes.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253901) 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, 126975 + 126976.

It is an arithmetic number, because the mean of its divisors is an integer number (126976).

2253951 is an apocalyptic number.

253951 is a deficient number, since it is larger than the sum of its proper divisors (1).

253951 is an equidigital number, since it uses as much as digits as its factorization.

253951 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1350, while the sum is 25.

The square root of 253951 is about 503.9355117473. The cubic root of 253951 is about 63.3261826337.

The spelling of 253951 in words is "two hundred fifty-three thousand, nine hundred fifty-one".