51511 has 2 divisors, whose sum is σ = 51512. Its totient is φ = 51510.

The previous prime is 51503. The next prime is 51517. The reversal of 51511 is 11515.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 51511 - 2³ = 51503 is a prime.

It is a plaindrome in base 8 and base 11.

It is a junction number, because it is equal to n+sod(n) for n = 51491 and 51500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25755 + 25756.

It is an arithmetic number, because the mean of its divisors is an integer number (25756).

2⁵¹⁵¹¹ is an apocalyptic number.

51511 is the 102-nd centered decagonal number.

51511 is a deficient number, since it is larger than the sum of its proper divisors (1).

51511 is an equidigital number, since it uses as much as digits as its factorization.

51511 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25, while the sum is 13.

The square root of 51511 is about 226.9603489599. The cubic root of 51511 is about 37.2077430215.

It can be divided in two parts, 515 and 11, that multiplied together give a palindrome (5665).

The spelling of 51511 in words is "fifty-one thousand, five hundred eleven".