5256735 has 16 divisors (see below), whose sum is σ = 9175680. Its totient is φ = 2548640.

The previous prime is 5256697. The next prime is 5256737. The reversal of 5256735 is 5376525.

It is not a de Polignac number, because 5256735 - 2¹⁰ = 5255711 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5256696 and 5256705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5256737) 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 in 15 ways as a sum of consecutive naturals, for example, 15765 + ... + 16094.

It is an arithmetic number, because the mean of its divisors is an integer number (573480).

Almost surely, 2^5256735 is an apocalyptic number.

5256735 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5256735 is a deficient number, since it is larger than the sum of its proper divisors (3918945).

5256735 is a wasteful number, since it uses less digits than its factorization.

5256735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31878.

The product of its digits is 31500, while the sum is 33.

The square root of 5256735 is about 2292.7570739178. The cubic root of 5256735 is about 173.8756212461.

It can be divided in two parts, 525 and 6735, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 5256735 in words is "five million, two hundred fifty-six thousand, seven hundred thirty-five".