Search a number
53381 is a prime number
BaseRepresentation
bin1101000010000101
32201020002
431002011
53202011
61051045
7311426
oct150205
981202
1053381
1137119
1226a85
131b3b3
141564d
1510c3b
hexd085

53381 has 2 divisors, whose sum is σ = 53382. Its totient is φ = 53380.

The previous prime is 53377. The next prime is 53401. The reversal of 53381 is 18335.

It is an a-pointer prime, because the next prime (53401) can be obtained adding 53381 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36481 + 16900 = 191^2 + 130^2 .

It is a cyclic number.

It is not a de Polignac number, because 53381 - 22 = 53377 is a prime.

It is a super-2 number, since 2×533812 = 5699062322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26690 + 26691.

It is an arithmetic number, because the mean of its divisors is an integer number (26691).

253381 is an apocalyptic number.

It is an amenable number.

53381 is a deficient number, since it is larger than the sum of its proper divisors (1).

53381 is an equidigital number, since it uses as much as digits as its factorization.

53381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 360, while the sum is 20.

The square root of 53381 is about 231.0432859877. The cubic root of 53381 is about 37.6526518287.

Subtracting from 53381 its sum of digits (20), we obtain a square (53361 = 2312).

It can be divided in two parts, 53 and 381, that added together give a palindrome (434).

The spelling of 53381 in words is "fifty-three thousand, three hundred eighty-one".