67161314025 has 135 divisors (see below), whose sum is σ = 135016566069. Its totient is φ = 32989394880.

The previous prime is 67161314023. The next prime is 67161314029. The reversal of 67161314025 is 52041316176.

The square root of 67161314025 is 259155.

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

67161314025 is a `hidden beast` number, since 6 + 7 + 1 + 613 + 14 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17310928041 + 49850385984 = 131571^2 + 223272^2 .

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

It is not a de Polignac number, because 67161314025 - 2¹ = 67161314023 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (67161314023) 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, 151605454 + ... + 151605896.

Almost surely, 2^67161314025 is an apocalyptic number.

67161314025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

67161314025 is the 259155-th square number.

67161314025 is the 129578-th centered octagonal number.

It is an amenable number.

67161314025 is an abundant number, since it is smaller than the sum of its proper divisors (67855252044).

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

67161314025 is an equidigital number, since it uses as much as digits as its factorization.

67161314025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 67161314025 by its sum of digits (36), we get a square (2417807304900 = 1554930²).

The spelling of 67161314025 in words is "sixty-seven billion, one hundred sixty-one million, three hundred fourteen thousand, twenty-five".