130685865025 has 27 divisors (see below), whose sum is σ = 172184066971. Its totient is φ = 98375632640.

The previous prime is 130685864971. The next prime is 130685865029. The reversal of 130685865025 is 520568586031.

The square root of 130685865025 is 361505.

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 102788848449 + 27897016576 = 320607^2 + 167024^2 .

It is not a de Polignac number, because 130685865025 - 2¹¹ = 130685862977 is a prime.

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 130685865025.

It is not an unprimeable number, because it can be changed into a prime (130685865029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30725799 + ... + 30730051.

Almost surely, 2^130685865025 is an apocalyptic number.

130685865025 is the 361505-th square number.

130685865025 is the 180753-rd centered octagonal number.

It is an amenable number.

130685865025 is a deficient number, since it is larger than the sum of its proper divisors (41498201946).

130685865025 is an frugal number, since it uses more digits than its factorization.

130685865025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8550 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 49.

Multiplying 130685865025 by its sum of digits (49), we get a square (6403607386225 = 2530535²).

The spelling of 130685865025 in words is "one hundred thirty billion, six hundred eighty-five million, eight hundred sixty-five thousand, twenty-five".