10607690733025 has 27 divisors (see below), whose sum is σ = 13973152590219. Its totient is φ = 7986758695680.

The previous prime is 10607690733019. The next prime is 10607690733043. The reversal of 10607690733025 is 52033709670601.

The square root of 10607690733025 is 3256945.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2264281591009 + 8343409142016 = 1504753^2 + 2888496^2 .

It is not a de Polignac number, because 10607690733025 - 2⁵ = 10607690732993 is a prime.

It is a super-2 number, since 2×10607690733025² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10607690733025.

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 26 ways as a sum of consecutive naturals, for example, 276821167 + ... + 276859483.

Almost surely, 2^{10607690733025} is an apocalyptic number.

10607690733025 is the 3256945-th square number.

10607690733025 is the 1628473-rd centered octagonal number.

It is an amenable number.

10607690733025 is a deficient number, since it is larger than the sum of its proper divisors (3365461857194).

10607690733025 is an frugal number, since it uses more digits than its factorization.

10607690733025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76678 (or 38339 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 49.

Multiplying 10607690733025 by its sum of digits (49), we get a square (519776845918225 = 22798615²).

The spelling of 10607690733025 in words is "ten trillion, six hundred seven billion, six hundred ninety million, seven hundred thirty-three thousand, twenty-five".