263677115025 has 45 divisors (see below), whose sum is σ = 488463971083. Its totient is φ = 140615470800.

The previous prime is 263677115003. The next prime is 263677115029. The reversal of 263677115025 is 520511776362.

It is a happy number.

The square root of 263677115025 is 513495.

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

263677115025 is a `hidden beast` number, since 2 + 63 + 6 + 77 + 11 + 502 + 5 = 666.

263677115025 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 only one way, i.e., 94923761409 + 168753353616 = 308097^2 + 410796^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 263677115025 - 2⁹ = 263677114513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (263677115029) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 23101570 + ... + 23112980.

Almost surely, 2^263677115025 is an apocalyptic number.

263677115025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

263677115025 is the 513495-th square number.

263677115025 is the 256748-th centered octagonal number.

It is an amenable number.

263677115025 is a deficient number, since it is larger than the sum of its proper divisors (224786856058).

263677115025 is an frugal number, since it uses more digits than its factorization.

263677115025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22844 (or 11419 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 263677115025 in words is "two hundred sixty-three billion, six hundred seventy-seven million, one hundred fifteen thousand, twenty-five".