412761276225 has 63 divisors (see below), whose sum is σ = 767546211603. Its totient is φ = 220093089840.

The previous prime is 412761276223. The next prime is 412761276229. The reversal of 412761276225 is 522672167214.

The square root of 412761276225 is 642465.

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

412761276225 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 6 + 12 + 7 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 148594059441 + 264167216784 = 385479^2 + 513972^2 .

It is not a de Polignac number, because 412761276225 - 2¹ = 412761276223 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (412761276223) 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 62 ways as a sum of consecutive naturals, for example, 86730396 + ... + 86735154.

Almost surely, 2^412761276225 is an apocalyptic number.

412761276225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

412761276225 is the 642465-th square number.

412761276225 is the 321233-rd centered octagonal number.

It is an amenable number.

412761276225 is a deficient number, since it is larger than the sum of its proper divisors (354784935378).

412761276225 is an frugal number, since it uses more digits than its factorization.

412761276225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546 (or 4767 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 412761276225 in words is "four hundred twelve billion, seven hundred sixty-one million, two hundred seventy-six thousand, two hundred twenty-five".