1255072329 has 45 divisors (see below), whose sum is σ = 2123715399. Its totient is φ = 714208320.

The previous prime is 1255072309. The next prime is 1255072333. The reversal of 1255072329 is 9232705521.

The square root of 1255072329 is 35427.

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

1255072329 is a `hidden beast` number, since 1 + 2 + 550 + 72 + 32 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 943902729 + 311169600 = 30723^2 + 17640^2 .

It is not a de Polignac number, because 1255072329 - 2⁵ = 1255072297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1255072293 and 1255072302.

It is not an unprimeable number, because it can be changed into a prime (1255072309) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5207649 + ... + 5207889.

Almost surely, 2^1255072329 is an apocalyptic number.

1255072329 is the 35427-th square number.

1255072329 is the 17714-th centered octagonal number.

It is an amenable number.

1255072329 is a deficient number, since it is larger than the sum of its proper divisors (868643070).

1255072329 is an frugal number, since it uses more digits than its factorization.

1255072329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The cubic root of 1255072329 is about 1078.6724454619.

Multiplying 1255072329 by its sum of digits (36), we get a square (45182603844 = 212562²).

The spelling of 1255072329 in words is "one billion, two hundred fifty-five million, seventy-two thousand, three hundred twenty-nine".