263151 has 12 divisors (see below), whose sum is σ = 434512. Its totient is φ = 150336.

The previous prime is 263129. The next prime is 263167. The reversal of 263151 is 151362.

It is not a de Polignac number, because 263151 - 2⁵ = 263119 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2026 + ... + 2151.

2²⁶³¹⁵¹ is an apocalyptic number.

263151 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

263151 is a deficient number, since it is larger than the sum of its proper divisors (171361).

263151 is a wasteful number, since it uses less digits than its factorization.

263151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190 (or 4187 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 263151 is about 512.9824558404. The cubic root of 263151 is about 64.0818451591.

Adding to 263151 its sum of digits (18), we get a square (263169 = 513²).

It can be divided in two parts, 263 and 151, that added together give a palindrome (414).

The spelling of 263151 in words is "two hundred sixty-three thousand, one hundred fifty-one".