13191671025 has 243 divisors, whose sum is σ = 27901680417. Its totient is φ = 5954083200.

The previous prime is 13191671023. The next prime is 13191671027. The reversal of 13191671025 is 52017619131.

It is a happy number.

The square root of 13191671025 is 114855.

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

It is an interprime number because it is at equal distance from previous prime (13191671023) and next prime (13191671027).

It can be written as a sum of positive squares in 4 ways, for example, as 3400172721 + 9791498304 = 58311^2 + 98952^2 .

It is not a de Polignac number, because 13191671025 - 2¹ = 13191671023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13191671023) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 425537760 + ... + 425537790.

Almost surely, 2^13191671025 is an apocalyptic number.

13191671025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13191671025 is the 114855-th square number.

13191671025 is the 57428-th centered octagonal number.

It is an amenable number.

13191671025 is an abundant number, since it is smaller than the sum of its proper divisors (14710009392).

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

13191671025 is a wasteful number, since it uses less digits than its factorization.

13191671025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

Multiplying 13191671025 by its sum of digits (36), we get a square (474900156900 = 689130²).

The spelling of 13191671025 in words is "thirteen billion, one hundred ninety-one million, six hundred seventy-one thousand, twenty-five".