511012000 has 96 divisors (see below), whose sum is σ = 1285187904. Its totient is φ = 199584000.

The previous prime is 511011997. The next prime is 511012001. The reversal of 511012000 is 210115.

It is a happy number.

It is a super-2 number, since 2×511012000² = 522266528288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (511012001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170515 + ... + 173485.

It is an arithmetic number, because the mean of its divisors is an integer number (13387374).

Almost surely, 2^511012000 is an apocalyptic number.

511012000 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 511012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642593952).

511012000 is an abundant number, since it is smaller than the sum of its proper divisors (774175904).

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

511012000 is a wasteful number, since it uses less digits than its factorization.

511012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 511012000 is about 22605.5745337295. The cubic root of 511012000 is about 799.4850853164.

Adding to 511012000 its reverse (210115), we get a palindrome (511222115).

The spelling of 511012000 in words is "five hundred eleven million, twelve thousand".