263135120 has 40 divisors (see below), whose sum is σ = 628331064. Its totient is φ = 102408192.

The previous prime is 263135087. The next prime is 263135137. The reversal of 263135120 is 21531362.

It can be written as a sum of positive squares in 4 ways, for example, as 32581264 + 230553856 = 5708^2 + 15184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41489 + ... + 47408.

Almost surely, 2^263135120 is an apocalyptic number.

263135120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263135120 is an abundant number, since it is smaller than the sum of its proper divisors (365195944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

263135120 is a wasteful number, since it uses less digits than its factorization.

263135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88947 (or 88941 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 263135120 is about 16221.4401333544. The cubic root of 263135120 is about 640.8055611442.

Adding to 263135120 its reverse (21531362), we get a palindrome (284666482).

The spelling of 263135120 in words is "two hundred sixty-three million, one hundred thirty-five thousand, one hundred twenty".