511513485000 has 640 divisors, whose sum is σ = 1898464296960. Its totient is φ = 112348800000.

The previous prime is 511513484929. The next prime is 511513485023. The reversal of 511513485000 is 584315115.

It is a happy number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 543584530 + ... + 543585470.

It is an arithmetic number, because the mean of its divisors is an integer number (2966350464).

Almost surely, 2^511513485000 is an apocalyptic number.

511513485000 is a gapful number since it is divisible by the number (50) 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 511513485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949232148480).

511513485000 is an abundant number, since it is smaller than the sum of its proper divisors (1386950811960).

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

511513485000 is a wasteful number, since it uses less digits than its factorization.

511513485000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The spelling of 511513485000 in words is "five hundred eleven billion, five hundred thirteen million, four hundred eighty-five thousand".