263151072 has 96 divisors (see below), whose sum is σ = 780262560. Its totient is φ = 86261760.

The previous prime is 263151059. The next prime is 263151101. The reversal of 263151072 is 270151362.

It is a happy number.

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 (27).

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, 50208 + ... + 55200.

It is an arithmetic number, because the mean of its divisors is an integer number (8127735).

Almost surely, 2^263151072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263151072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390131280).

263151072 is an abundant number, since it is smaller than the sum of its proper divisors (517111488).

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

263151072 is a wasteful number, since it uses less digits than its factorization.

263151072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 263151072 is about 16221.9318208406. The cubic root of 263151072 is about 640.8185100350.

The spelling of 263151072 in words is "two hundred sixty-three million, one hundred fifty-one thousand, seventy-two".