123527646225 has 27 divisors (see below), whose sum is σ = 221261182779. Its totient is φ = 65878599600.

The previous prime is 123527646217. The next prime is 123527646239. The reversal of 123527646225 is 522646725321.

The square root of 123527646225 is 351465.

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

123527646225 is a `hidden beast` number, since 1 + 2 + 3 + 527 + 64 + 62 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44469952641 + 79057693584 = 210879^2 + 281172^2 .

It is not a de Polignac number, because 123527646225 - 2³ = 123527646217 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5260260 + ... + 5283690.

Almost surely, 2^123527646225 is an apocalyptic number.

123527646225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

123527646225 is the 351465-th square number.

123527646225 is the 175733-rd centered octagonal number.

It is an amenable number.

123527646225 is a deficient number, since it is larger than the sum of its proper divisors (97733536554).

123527646225 is an frugal number, since it uses more digits than its factorization.

123527646225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46878 (or 23439 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 123527646225 in words is "one hundred twenty-three billion, five hundred twenty-seven million, six hundred forty-six thousand, two hundred twenty-five".