133097280625 has 15 divisors (see below), whose sum is σ = 166329759783. Its totient is φ = 106470528000.

The previous prime is 133097280623. The next prime is 133097280653. The reversal of 133097280625 is 526082790331.

The square root of 133097280625 is 364825.

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

It can be written as a sum of positive squares in 7 ways, for example, as 133084147249 + 13133376 = 364807^2 + 3624^2 .

It is not a de Polignac number, because 133097280625 - 2¹ = 133097280623 is a prime.

It is a super-2 number, since 2×133097280625² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133097280623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9113329 + ... + 9127921.

Almost surely, 2^133097280625 is an apocalyptic number.

133097280625 is the 364825-th square number.

133097280625 is the 182413-rd centered octagonal number.

It is an amenable number.

133097280625 is a deficient number, since it is larger than the sum of its proper divisors (33232479158).

133097280625 is an frugal number, since it uses more digits than its factorization.

133097280625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29206 (or 14598 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 133097280625 in words is "one hundred thirty-three billion, ninety-seven million, two hundred eighty thousand, six hundred twenty-five".