511938 has 48 divisors (see below), whose sum is σ = 1347840. Its totient is φ = 137088.

The previous prime is 511933. The next prime is 511939. The reversal of 511938 is 839115.

It is not an unprimeable number, because it can be changed into a prime (511933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2023 + ... + 2261.

It is an arithmetic number, because the mean of its divisors is an integer number (28080).

2⁵¹¹⁹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673920).

511938 is an abundant number, since it is smaller than the sum of its proper divisors (835902).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

511938 is a wasteful number, since it uses less digits than its factorization.

511938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 268 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 511938 is about 715.4984276712. The cubic root of 511938 is about 79.9967707030.

The spelling of 511938 in words is "five hundred eleven thousand, nine hundred thirty-eight".