263231001540 has 144 divisors (see below), whose sum is σ = 868402460016. Its totient is φ = 64153728000.

The previous prime is 263231001491. The next prime is 263231001587. The reversal of 263231001540 is 45100132362.

263231001540 is a `hidden beast` number, since 2 + 632 + 3 + 10 + 0 + 15 + 4 + 0 = 666.

263231001540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6594624 + 263224406916 = 2568^2 + 513054^2 .

It is a super-3 number, since 3×263231001540³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320551 + ... + 793230.

It is an arithmetic number, because the mean of its divisors is an integer number (6030572639).

Almost surely, 2^263231001540 is an apocalyptic number.

263231001540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263231001540 is an abundant number, since it is smaller than the sum of its proper divisors (605171458476).

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

263231001540 is a wasteful number, since it uses less digits than its factorization.

263231001540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113910 (or 1113905 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 263231001540 in words is "two hundred sixty-three billion, two hundred thirty-one million, one thousand, five hundred forty".