53137305 has 24 divisors (see below), whose sum is σ = 99190728. Its totient is φ = 26159616.

The previous prime is 53137303. The next prime is 53137321. The reversal of 53137305 is 50373135.

It can be written as a sum of positive squares in 4 ways, for example, as 2286144 + 50851161 = 1512^2 + 7131^2 .

It is not a de Polignac number, because 53137305 - 2¹ = 53137303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53137303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44832 + ... + 46001.

It is an arithmetic number, because the mean of its divisors is an integer number (4132947).

Almost surely, 2^53137305 is an apocalyptic number.

It is an amenable number.

53137305 is a deficient number, since it is larger than the sum of its proper divisors (46053423).

53137305 is a wasteful number, since it uses less digits than its factorization.

53137305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90857 (or 90854 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 53137305 is about 7289.5339357191. The cubic root of 53137305 is about 375.9526710648.

The spelling of 53137305 in words is "fifty-three million, one hundred thirty-seven thousand, three hundred five".