263810640625 has 63 divisors (see below), whose sum is σ = 384251897919. Its totient is φ = 180590550000.

The previous prime is 263810640617. The next prime is 263810640649. The reversal of 263810640625 is 526046018362.

The square root of 263810640625 is 513625.

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

It can be written as a sum of positive squares in 3 ways, for example, as 231123447009 + 32687193616 = 480753^2 + 180796^2 .

It is not a de Polignac number, because 263810640625 - 2³ = 263810640617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 449421582 + ... + 449422168.

Almost surely, 2^263810640625 is an apocalyptic number.

263810640625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

263810640625 is the 513625-th square number.

263810640625 is the 256813-rd centered octagonal number.

It is an amenable number.

263810640625 is a deficient number, since it is larger than the sum of its proper divisors (120441257294).

263810640625 is an frugal number, since it uses more digits than its factorization.

263810640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

Adding to 263810640625 its reverse (526046018362), we get a palindrome (789856658987).

The spelling of 263810640625 in words is "two hundred sixty-three billion, eight hundred ten million, six hundred forty thousand, six hundred twenty-five".