263313120 has 96 divisors (see below), whose sum is σ = 947939328. Its totient is φ = 60185088.

The previous prime is 263313109. The next prime is 263313137. The reversal of 263313120 is 21313362.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35824 + ... + 42543.

It is an arithmetic number, because the mean of its divisors is an integer number (9874368).

Almost surely, 2^263313120 is an apocalyptic number.

263313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263313120 is an abundant number, since it is smaller than the sum of its proper divisors (684626208).

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

263313120 is a wasteful number, since it uses less digits than its factorization.

263313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78392 (or 78384 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 263313120 is about 16226.9257716919. The cubic root of 263313120 is about 640.9500213742.

Adding to 263313120 its reverse (21313362), we get a palindrome (284626482).

It can be divided in two parts, 2633 and 13120, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 263313120 in words is "two hundred sixty-three million, three hundred thirteen thousand, one hundred twenty".