133483477785025 has 9 divisors (see below), whose sum is σ = 165519584085193. Its totient is φ = 106786736014000.

The previous prime is 133483477784983. The next prime is 133483477785059. The reversal of 133483477785025 is 520587774384331.

The square root of 133483477785025 is 11553505.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7843231532929 + 125640246252096 = 2800577^2 + 11208936^2 .

It is not a de Polignac number, because 133483477785025 - 2¹⁵ = 133483477752257 is a prime.

It is a super-3 number, since 3×133483477785025³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56612175 + ... + 58922875.

Almost surely, 2^{133483477785025} is an apocalyptic number.

133483477785025 is the 11553505-th square number.

133483477785025 is the 5776753-rd centered octagonal number.

It is an amenable number.

133483477785025 is a deficient number, since it is larger than the sum of its proper divisors (32036106300168).

133483477785025 is an frugal number, since it uses more digits than its factorization.

133483477785025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621412 (or 2310706 counting only the distinct ones).

The product of its (nonzero) digits is 474163200, while the sum is 67.

The spelling of 133483477785025 in words is "one hundred thirty-three trillion, four hundred eighty-three billion, four hundred seventy-seven million, seven hundred eighty-five thousand, twenty-five".