263263537152 has 1152 divisors, whose sum is σ = 1011489897600. Its totient is φ = 67443425280.

The previous prime is 263263537139. The next prime is 263263537169. The reversal of 263263537152 is 251735362362.

263263537152 is a `hidden beast` number, since 2 + 6 + 3 + 2 + 63 + 537 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×263263537152² (a number of 24 digits) contains 22 as substring.

Its product of digits (1360800) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 263263537098 and 263263537107.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3606349788 + ... + 3606349860.

It is an arithmetic number, because the mean of its divisors is an integer number (878029425).

Almost surely, 2^263263537152 is an apocalyptic number.

263263537152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263263537152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505744948800).

263263537152 is an abundant number, since it is smaller than the sum of its proper divisors (748226360448).

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

263263537152 is an equidigital number, since it uses as much as digits as its factorization.

263263537152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 96 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The spelling of 263263537152 in words is "two hundred sixty-three billion, two hundred sixty-three million, five hundred thirty-seven thousand, one hundred fifty-two".