1043002625625 has 315 divisors, whose sum is σ = 2099405366641. Its totient is φ = 517663872000.

The previous prime is 1043002625611. The next prime is 1043002625641. The reversal of 1043002625625 is 5265262003401.

The square root of 1043002625625 is 1021275.

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

1043002625625 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 0 + 0 + 2 + 6 + 25 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 939699523161 + 103303102464 = 969381^2 + 321408^2 .

It is not a de Polignac number, because 1043002625625 - 2⁵ = 1043002625593 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1043002625625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 11719130581 + ... + 11719130669.

Almost surely, 2^{1043002625625} is an apocalyptic number.

1043002625625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1043002625625 is the 1021275-th square number.

1043002625625 is the 510638-th centered octagonal number.

It is an amenable number.

1043002625625 is an abundant number, since it is smaller than the sum of its proper divisors (1056402741016).

1043002625625 is an frugal number, since it uses more digits than its factorization.

1043002625625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 1043002625625 by its sum of digits (36), we get a square (37548094522500 = 6127650²).

The spelling of 1043002625625 in words is "one trillion, forty-three billion, two million, six hundred twenty-five thousand, six hundred twenty-five".