150125329 has 2 divisors, whose sum is σ = 150125330. Its totient is φ = 150125328.

The previous prime is 150125299. The next prime is 150125333. The reversal of 150125329 is 923521051.

150125329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133356304 + 16769025 = 11548^2 + 4095^2 .

It is an emirp because it is prime and its reverse (923521051) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 150125329 - 2²⁵ = 116570897 is a prime.

It is a super-3 number, since 3×150125329³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 150125297 and 150125306.

It is not a weakly prime, because it can be changed into another prime (150125389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 75062664 + 75062665.

It is an arithmetic number, because the mean of its divisors is an integer number (75062665).

Almost surely, 2^150125329 is an apocalyptic number.

It is an amenable number.

150125329 is a deficient number, since it is larger than the sum of its proper divisors (1).

150125329 is an equidigital number, since it uses as much as digits as its factorization.

150125329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 150125329 is about 12252.5641806113. The cubic root of 150125329 is about 531.4772233254.

The spelling of 150125329 in words is "one hundred fifty million, one hundred twenty-five thousand, three hundred twenty-nine".