1045966425625 has 45 divisors (see below), whose sum is σ = 1437049819513. Its totient is φ = 760498310000.

The previous prime is 1045966425613. The next prime is 1045966425643. The reversal of 1045966425625 is 5265246695401.

The square root of 1045966425625 is 1022725.

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

It can be written as a sum of positive squares in 2 ways, for example, as 82003767769 + 963962657856 = 286363^2 + 981816^2 .

It is not a de Polignac number, because 1045966425625 - 2¹⁵ = 1045966392857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

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, 281247516 + ... + 281251234.

Almost surely, 2^{1045966425625} is an apocalyptic number.

1045966425625 is the 1022725-th square number.

1045966425625 is the 511363-rd centered octagonal number.

It is an amenable number.

1045966425625 is a deficient number, since it is larger than the sum of its proper divisors (391083393888).

1045966425625 is an frugal number, since it uses more digits than its factorization.

1045966425625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7480 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 55.

The spelling of 1045966425625 in words is "one trillion, forty-five billion, nine hundred sixty-six million, four hundred twenty-five thousand, six hundred twenty-five".