863607783025 has 135 divisors (see below), whose sum is σ = 1275801463551. Its totient is φ = 579529466880.

The previous prime is 863607782959. The next prime is 863607783029. The reversal of 863607783025 is 520387706368.

The square root of 863607783025 is 929305.

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

It can be written as a sum of positive squares in 67 ways, for example, as 273009385009 + 590598398016 = 522503^2 + 768504^2 .

It is not a de Polignac number, because 863607783025 - 2⁷ = 863607782897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (863607783029) 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 134 ways as a sum of consecutive naturals, for example, 29779578711 + ... + 29779578739.

Almost surely, 2^863607783025 is an apocalyptic number.

863607783025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

863607783025 is the 929305-th square number.

863607783025 is the 464653-rd centered octagonal number.

It is an amenable number.

863607783025 is a deficient number, since it is larger than the sum of its proper divisors (412193680526).

863607783025 is an frugal number, since it uses more digits than its factorization.

863607783025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 863607783025 in words is "eight hundred sixty-three billion, six hundred seven million, seven hundred eighty-three thousand, twenty-five".