10196813630025 has 135 divisors (see below), whose sum is σ = 20764434890199. Its totient is φ = 4943143260000.

The previous prime is 10196813630023. The next prime is 10196813630033. The reversal of 10196813630025 is 52003631869101.

The square root of 10196813630025 is 3193245.

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

10196813630025 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 6 + 8 + 1 + 3 + 630 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3670852906809 + 6525960723216 = 1915947^2 + 2554596^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 10196813630025 - 2¹ = 10196813630023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10196813630023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1580653050 + ... + 1580659500.

Almost surely, 2^{10196813630025} is an apocalyptic number.

10196813630025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10196813630025 is the 3193245-th square number.

10196813630025 is the 1596623-rd centered octagonal number.

It is an amenable number.

10196813630025 is an abundant number, since it is smaller than the sum of its proper divisors (10567621260174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10196813630025 is an frugal number, since it uses more digits than its factorization.

10196813630025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12946 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10196813630025 in words is "ten trillion, one hundred ninety-six billion, eight hundred thirteen million, six hundred thirty thousand, twenty-five".