53951 has 2 divisors, whose sum is σ = 53952. Its totient is φ = 53950.

The previous prime is 53939. The next prime is 53959. The reversal of 53951 is 15935.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 53951 - 2⁶ = 53887 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53951.

It is not a weakly prime, because it can be changed into another prime (53959) 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, 26975 + 26976.

It is an arithmetic number, because the mean of its divisors is an integer number (26976).

2⁵³⁹⁵¹ is an apocalyptic number.

53951 is a deficient number, since it is larger than the sum of its proper divisors (1).

53951 is an equidigital number, since it uses as much as digits as its factorization.

53951 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 675, while the sum is 23.

The square root of 53951 is about 232.2735456310. The cubic root of 53951 is about 37.7861954202.

It can be divided in two parts, 53 and 951, that multiplied together give a triangular number (50403 = T₃₁₇).

The spelling of 53951 in words is "fifty-three thousand, nine hundred fifty-one".