10073165130625 has 45 divisors (see below), whose sum is σ = 12756716775957. Its totient is φ = 7951574202000.

The previous prime is 10073165130583. The next prime is 10073165130683. The reversal of 10073165130625 is 52603156137001.

The square root of 10073165130625 is 3173825.

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

It can be written as a sum of positive squares in 2 ways, for example, as 789736146241 + 9283428984384 = 888671^2 + 3046872^2 .

It is not a de Polignac number, because 10073165130625 - 2²⁷ = 10073030912897 is a prime.

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 6268303572 + ... + 6268305178.

Almost surely, 2^{10073165130625} is an apocalyptic number.

10073165130625 is the 3173825-th square number.

10073165130625 is the 1586913-rd centered octagonal number.

It is an amenable number.

10073165130625 is a deficient number, since it is larger than the sum of its proper divisors (2683551645332).

10073165130625 is an frugal number, since it uses more digits than its factorization.

10073165130625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 10073165130625 in words is "ten trillion, seventy-three billion, one hundred sixty-five million, one hundred thirty thousand, six hundred twenty-five".