1008252957924 has 81 divisors (see below), whose sum is σ = 2573130775579. Its totient is φ = 332885199360.

The previous prime is 1008252957893. The next prime is 1008252957941. The reversal of 1008252957924 is 4297592528001.

The square root of 1008252957924 is 1004118.

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

1008252957924 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 25 + 29 + 579 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 442797084900 + 565455873024 = 665430^2 + 751968^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 680791264 + ... + 680792744.

Almost surely, 2^{1008252957924} is an apocalyptic number.

1008252957924 is the 1004118-th square number.

It is an amenable number.

1008252957924 is an abundant number, since it is smaller than the sum of its proper divisors (1564877817655).

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

1008252957924 is an equidigital number, since it uses as much as digits as its factorization.

1008252957924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1008252957924 in words is "one trillion, eight billion, two hundred fifty-two million, nine hundred fifty-seven thousand, nine hundred twenty-four".