511431153432 has 128 divisors (see below), whose sum is σ = 1426610880000. Its totient is φ = 151836788736.

The previous prime is 511431153421. The next prime is 511431153437. The reversal of 511431153432 is 234351134115.

It is a junction number, because it is equal to n+sod(n) for n = 511431153393 and 511431153402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511431153437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7088194 + ... + 7159982.

It is an arithmetic number, because the mean of its divisors is an integer number (11145397500).

Almost surely, 2^511431153432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511431153432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713305440000).

511431153432 is an abundant number, since it is smaller than the sum of its proper divisors (915179726568).

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

511431153432 is a wasteful number, since it uses less digits than its factorization.

511431153432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72753 (or 72749 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

Adding to 511431153432 its reverse (234351134115), we get a palindrome (745782287547).

The spelling of 511431153432 in words is "five hundred eleven billion, four hundred thirty-one million, one hundred fifty-three thousand, four hundred thirty-two".