1040063427225 has 135 divisors (see below), whose sum is σ = 1952662492429. Its totient is φ = 547284254400.

The previous prime is 1040063427203. The next prime is 1040063427229. The reversal of 1040063427225 is 5227243600401.

The square root of 1040063427225 is 1019835.

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

1040063427225 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 0 + 6 + 3 + 427 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 114496287129 + 925567140096 = 338373^2 + 962064^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1040063427225 - 2¹⁵ = 1040063394457 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1040063427225.

It is not an unprimeable number, because it can be changed into a prime (1040063427229) 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, 6011927239 + ... + 6011927411.

Almost surely, 2^{1040063427225} is an apocalyptic number.

1040063427225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1040063427225 is the 1019835-th square number.

1040063427225 is the 509918-th centered octagonal number.

It is an amenable number.

1040063427225 is a deficient number, since it is larger than the sum of its proper divisors (912599065204).

1040063427225 is an frugal number, since it uses more digits than its factorization.

1040063427225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 1040063427225 by its sum of digits (36), we get a square (37442283380100 = 6119010²).

The spelling of 1040063427225 in words is "one trillion, forty billion, sixty-three million, four hundred twenty-seven thousand, two hundred twenty-five".