511531434 has 48 divisors (see below), whose sum is σ = 1151554560. Its totient is φ = 163931040.

The previous prime is 511531429. The next prime is 511531459. The reversal of 511531434 is 434135115.

It is a happy number.

511531434 is a `hidden beast` number, since 511 + 5 + 3 + 143 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 511531398 and 511531407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84687 + ... + 90525.

It is an arithmetic number, because the mean of its divisors is an integer number (23990720).

Almost surely, 2^511531434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511531434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575777280).

511531434 is an abundant number, since it is smaller than the sum of its proper divisors (640023126).

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

511531434 is a wasteful number, since it uses less digits than its factorization.

511531434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6035 (or 6032 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 511531434 is about 22617.0606843595. The cubic root of 511531434 is about 799.7558807231.

Adding to 511531434 its reverse (434135115), we get a palindrome (945666549).

The spelling of 511531434 in words is "five hundred eleven million, five hundred thirty-one thousand, four hundred thirty-four".