133759518048025 has 27 divisors (see below), whose sum is σ = 167405319210423. Its totient is φ = 106020896932800.

The previous prime is 133759518048007. The next prime is 133759518048029. The reversal of 133759518048025 is 520840815957331.

The square root of 133759518048025 is 11565445.

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 2314301966089 + 131445216081936 = 1521283^2 + 11464956^2 .

It is not a de Polignac number, because 133759518048025 - 2¹⁵ = 133759518015257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133759518048029) 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, 6303156915 + ... + 6303178135.

Almost surely, 2^{133759518048025} is an apocalyptic number.

133759518048025 is the 11565445-th square number.

133759518048025 is the 5782723-rd centered octagonal number.

It is an amenable number.

133759518048025 is a deficient number, since it is larger than the sum of its proper divisors (33645801162398).

133759518048025 is an frugal number, since it uses more digits than its factorization.

133759518048025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42670 (or 21335 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 61.

The spelling of 133759518048025 in words is "one hundred thirty-three trillion, seven hundred fifty-nine billion, five hundred eighteen million, forty-eight thousand, twenty-five".