5263137 has 36 divisors (see below), whose sum is σ = 8714160. Its totient is φ = 3171960.

The previous prime is 5263109. The next prime is 5263169. The reversal of 5263137 is 7313625.

It is a happy number.

5263137 is a `hidden beast` number, since 526 + 3 + 137 = 666.

It is not a de Polignac number, because 5263137 - 2¹⁶ = 5197601 is a prime.

It is a super-3 number, since 3×5263137³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5263137.

It is not an unprimeable number, because it can be changed into a prime (5263177) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29314 + ... + 29492.

It is an arithmetic number, because the mean of its divisors is an integer number (242060).

Almost surely, 2^5263137 is an apocalyptic number.

It is an amenable number.

5263137 is a deficient number, since it is larger than the sum of its proper divisors (3451023).

5263137 is a wasteful number, since it uses less digits than its factorization.

5263137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 5263137 is about 2294.1527847988. The cubic root of 5263137 is about 173.9461783596.

It can be divided in two parts, 526 and 3137, that added together give a palindrome (3663).

The spelling of 5263137 in words is "five million, two hundred sixty-three thousand, one hundred thirty-seven".