263533006404 has 18 divisors (see below), whose sum is σ = 666152877390. Its totient is φ = 87844335456.

The previous prime is 263533006379. The next prime is 263533006433. The reversal of 263533006404 is 404600335362.

263533006404 is a `hidden beast` number, since 2 + 6 + 3 + 5 + 3 + 3 + 0 + 0 + 640 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 262922817600 + 610188804 = 512760^2 + 24702^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×263533006404² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 7320361289 = 263533006404 / (2 + 6 + 3 + 5 + 3 + 3 + 0 + 0 + 6 + 4 + 0 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3660180609 + ... + 3660180680.

Almost surely, 2^263533006404 is an apocalyptic number.

It is an amenable number.

263533006404 is an abundant number, since it is smaller than the sum of its proper divisors (402619870986).

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

263533006404 is a wasteful number, since it uses less digits than its factorization.

263533006404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7320361299 (or 7320361294 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 263533006404 in words is "two hundred sixty-three billion, five hundred thirty-three million, six thousand, four hundred four".