1800050329 has 81 divisors (see below), whose sum is σ = 2515762431. Its totient is φ = 1282992480.

The previous prime is 1800050327. The next prime is 1800050383. The reversal of 1800050329 is 9230500081.

The square root of 1800050329 is 42427.

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

It can be written as a sum of positive squares in only one way, i.e., 943902729 + 856147600 = 30723^2 + 29260^2 .

It is not a de Polignac number, because 1800050329 - 2¹ = 1800050327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1800050297 and 1800050306.

It is not an unprimeable number, because it can be changed into a prime (1800050323) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 62070687 + ... + 62070715.

Almost surely, 2^1800050329 is an apocalyptic number.

1800050329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1800050329 is the 42427-th square number.

1800050329 is the 21214-th centered octagonal number.

It is an amenable number.

1800050329 is a deficient number, since it is larger than the sum of its proper divisors (715712102).

1800050329 is a wasteful number, since it uses less digits than its factorization.

1800050329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The cubic root of 1800050329 is about 1216.4517364588.

The spelling of 1800050329 in words is "one billion, eight hundred million, fifty thousand, three hundred twenty-nine".