1008381567125 has 16 divisors (see below), whose sum is σ = 1275699388080. Its totient is φ = 795654489600.

The previous prime is 1008381567101. The next prime is 1008381567131. The reversal of 1008381567125 is 5217651838001.

It can be written as a sum of positive squares in 8 ways, for example, as 471904424209 + 536477142916 = 686953^2 + 732446^2 .

It is not a de Polignac number, because 1008381567125 - 2³⁰ = 1007307825301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1008381567125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55244660 + ... + 55262909.

It is an arithmetic number, because the mean of its divisors is an integer number (79731211755).

Almost surely, 2^{1008381567125} is an apocalyptic number.

It is an amenable number.

1008381567125 is a deficient number, since it is larger than the sum of its proper divisors (267317820955).

1008381567125 is an equidigital number, since it uses as much as digits as its factorization.

1008381567125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110507657 (or 110507647 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 47.

The spelling of 1008381567125 in words is "one trillion, eight billion, three hundred eighty-one million, five hundred sixty-seven thousand, one hundred twenty-five".