263940090001 has 27 divisors (see below), whose sum is σ = 321062598633. Its totient is φ = 216330271080.

The previous prime is 263940089971. The next prime is 263940090019. The reversal of 263940090001 is 100090049362.

The square root of 263940090001 is 513751.

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

It is not a de Polignac number, because 263940090001 - 2⁷ = 263940089873 is a prime.

It is a super-2 number, since 2×263940090001² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (263940096001) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 82712316 + ... + 82715506.

Almost surely, 2^263940090001 is an apocalyptic number.

263940090001 is the 513751-st square number.

263940090001 is the 256876-th centered octagonal number.

It is an amenable number.

263940090001 is a deficient number, since it is larger than the sum of its proper divisors (57122508632).

263940090001 is an frugal number, since it uses more digits than its factorization.

263940090001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6442 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 263940090001 in words is "two hundred sixty-three billion, nine hundred forty million, ninety thousand, one".