511406616450 has 48 divisors (see below), whose sum is σ = 1268336990880. Its totient is φ = 136369873920.

The previous prime is 511406616407. The next prime is 511406616451. The reversal of 511406616450 is 54616604115.

It is a happy number.

511406616450 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×511406616450³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 511406616399 and 511406616408.

It is not an unprimeable number, because it can be changed into a prime (511406616451) 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, 5362786 + ... + 5457314.

It is an arithmetic number, because the mean of its divisors is an integer number (26423687310).

Almost surely, 2^511406616450 is an apocalyptic number.

511406616450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

511406616450 is an abundant number, since it is smaller than the sum of its proper divisors (756930374430).

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

511406616450 is a wasteful number, since it uses less digits than its factorization.

511406616450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130611 (or 130606 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 511406616450 in words is "five hundred eleven billion, four hundred six million, six hundred sixteen thousand, four hundred fifty".