1006025048064 has 171 divisors, whose sum is σ = 2910746528053. Its totient is φ = 334828142592.

The previous prime is 1006025048009. The next prime is 1006025048069. The reversal of 1006025048064 is 4608405206001.

The square root of 1006025048064 is 1003008.

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

1006025048064 is a `hidden beast` number, since 1 + 0 + 0 + 602 + 5 + 0 + 48 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 234101145600 + 771923902464 = 483840^2 + 878592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006025048069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1540619962 + ... + 1540620614.

Almost surely, 2^{1006025048064} is an apocalyptic number.

1006025048064 is the 1003008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006025048064

1006025048064 is an abundant number, since it is smaller than the sum of its proper divisors (1904721479989).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006025048064 is an frugal number, since it uses more digits than its factorization.

1006025048064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 1006025048064 by its sum of digits (36), we get a square (36216901730304 = 6018048²).

1006025048064 divided by its sum of digits (36) gives a square (27945140224 = 167168²).

The spelling of 1006025048064 in words is "one trillion, six billion, twenty-five million, forty-eight thousand, sixty-four".