263835049 has 9 divisors (see below), whose sum is σ = 271777527. Its totient is φ = 256119624.

The previous prime is 263835043. The next prime is 263835059. The reversal of 263835049 is 940538362.

The square root of 263835049 is 16243.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 236083225 + 27751824 = 15365^2 + 5268^2 .

It is not a de Polignac number, because 263835049 - 2²¹ = 261737897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (263835043) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 600772 + ... + 601210.

It is an arithmetic number, because the mean of its divisors is an integer number (30197503).

Almost surely, 2^263835049 is an apocalyptic number.

263835049 is the 16243-rd square number.

263835049 is the 8122-nd centered octagonal number.

It is an amenable number.

263835049 is a deficient number, since it is larger than the sum of its proper divisors (7942478).

263835049 is an frugal number, since it uses more digits than its factorization.

263835049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The cubic root of 263835049 is about 641.3732305883.

The spelling of 263835049 in words is "two hundred sixty-three million, eight hundred thirty-five thousand, forty-nine".