511050000 has 120 divisors (see below), whose sum is σ = 1650644352. Its totient is φ = 136240000.

The previous prime is 511049993. The next prime is 511050019. The reversal of 511050000 is 50115.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×511050000² = 522344205000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148297 + ... + 151703.

Almost surely, 2^511050000 is an apocalyptic number.

511050000 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 511050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825322176).

511050000 is an abundant number, since it is smaller than the sum of its proper divisors (1139594352).

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

511050000 is an equidigital number, since it uses as much as digits as its factorization.

511050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 511050000 is about 22606.4150187508. The cubic root of 511050000 is about 799.5049019940.

The spelling of 511050000 in words is "five hundred eleven million, fifty thousand".