50753 has 2 divisors, whose sum is σ = 50754. Its totient is φ = 50752.

The previous prime is 50741. The next prime is 50767. The reversal of 50753 is 35705.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49729 + 1024 = 223^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 50753 - 2⁸ = 50497 is a prime.

It is a super-3 number, since 3×50753³ = 392198934923331, which contains 333 as substring.

It is a Chen prime.

It is a nialpdrome in base 9 and base 16.

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 50753.

It is not a weakly prime, because it can be changed into another prime (50723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25376 + 25377.

It is an arithmetic number, because the mean of its divisors is an integer number (25377).

2⁵⁰⁷⁵³ is an apocalyptic number.

It is an amenable number.

50753 is a deficient number, since it is larger than the sum of its proper divisors (1).

50753 is an equidigital number, since it uses as much as digits as its factorization.

50753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 525, while the sum is 20.

The square root of 50753 is about 225.2842648744. The cubic root of 50753 is about 37.0243326674.

It can be divided in two parts, 5075 and 3, that multiplied together give a triangular number (15225 = T₁₇₄).

The spelling of 50753 in words is "fifty thousand, seven hundred fifty-three".