263687385025 has 9 divisors (see below), whose sum is σ = 326975541193. Its totient is φ = 210947854000.

The previous prime is 263687385019. The next prime is 263687385041. The reversal of 263687385025 is 520583786362.

The square root of 263687385025 is 513505.

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

It can be written as a sum of positive squares in 4 ways, for example, as 863008129 + 262824376896 = 29377^2 + 512664^2 .

It is not a de Polignac number, because 263687385025 - 2¹⁷ = 263687253953 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 8 ways as a sum of consecutive naturals, for example, 2516175 + ... + 2618875.

Almost surely, 2^263687385025 is an apocalyptic number.

263687385025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

263687385025 is the 513505-th square number.

263687385025 is the 256753-rd centered octagonal number.

It is an amenable number.

263687385025 is a deficient number, since it is larger than the sum of its proper divisors (63288156168).

263687385025 is an frugal number, since it uses more digits than its factorization.

263687385025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205412 (or 102706 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 263687385025 in words is "two hundred sixty-three billion, six hundred eighty-seven million, three hundred eighty-five thousand, twenty-five".