511134048 has 144 divisors (see below), whose sum is σ = 1583290800. Its totient is φ = 155796480.

The previous prime is 511134023. The next prime is 511134049. The reversal of 511134048 is 840431115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×511134048² = 522516030049732608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511134049) 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, 157078 + ... + 160298.

It is an arithmetic number, because the mean of its divisors is an integer number (10995075).

Almost surely, 2^511134048 is an apocalyptic number.

511134048 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511134048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791645400).

511134048 is an abundant number, since it is smaller than the sum of its proper divisors (1072156752).

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

511134048 is a wasteful number, since it uses less digits than its factorization.

511134048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 511134048 is about 22608.2738836913. The cubic root of 511134048 is about 799.5487288241.

The spelling of 511134048 in words is "five hundred eleven million, one hundred thirty-four thousand, forty-eight".