263373138000625 has 15 divisors (see below), whose sum is σ = 329111580233293. Its totient is φ = 210698185825000.

The previous prime is 263373138000617. The next prime is 263373138000629. The reversal of 263373138000625 is 526000831373362.

The square root of 263373138000625 is 16228775.

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

It can be written as a sum of positive squares in 2 ways, for example, as 20648454019249 + 242724683981376 = 4544057^2 + 15579624^2 .

It is not a de Polignac number, because 263373138000625 - 2³ = 263373138000617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (263373138000629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 405394800 + ... + 406043950.

Almost surely, 2^{263373138000625} is an apocalyptic number.

263373138000625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

263373138000625 is the 16228775-th square number.

263373138000625 is the 8114388-th centered octagonal number.

It is an amenable number.

263373138000625 is a deficient number, since it is larger than the sum of its proper divisors (65738442232668).

263373138000625 is an frugal number, since it uses more digits than its factorization.

263373138000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298322 (or 649156 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 49.

Adding to 263373138000625 its reverse (526000831373362), we get a palindrome (789373969373987).

The spelling of 263373138000625 in words is "two hundred sixty-three trillion, three hundred seventy-three billion, one hundred thirty-eight million, six hundred twenty-five", and thus it is an aban number.