1007363125 has 10 divisors (see below), whose sum is σ = 1258801742. Its totient is φ = 805890000.

The previous prime is 1007363087. The next prime is 1007363191. The reversal of 1007363125 is 5213637001.

It can be written as a sum of positive squares in 5 ways, for example, as 124144164 + 883218961 = 11142^2 + 29719^2 .

It is not a de Polignac number, because 1007363125 - 2⁹ = 1007362613 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1007363093 and 1007363102.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 805266 + ... + 806515.

Almost surely, 2^1007363125 is an apocalyptic number.

It is an amenable number.

1007363125 is a deficient number, since it is larger than the sum of its proper divisors (251438617).

1007363125 is an frugal number, since it uses more digits than its factorization.

1007363125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611801 (or 1611786 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 1007363125 is about 31738.9843095207. The cubic root of 1007363125 is about 1002.4483755648.

The spelling of 1007363125 in words is "one billion, seven million, three hundred sixty-three thousand, one hundred twenty-five".