511045252000 has 96 divisors (see below), whose sum is σ = 1256932993680. Its totient is φ = 204207308800.

The previous prime is 511045251973. The next prime is 511045252019. The reversal of 511045252000 is 252540115.

It can be written as a sum of positive squares in 8 ways, for example, as 16909361296 + 494135890704 = 130036^2 + 702948^2 .

It is a super-2 number, since 2×511045252000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3842616 + ... + 3973384.

Almost surely, 2^511045252000 is an apocalyptic number.

511045252000 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 511045252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628466496840).

511045252000 is an abundant number, since it is smaller than the sum of its proper divisors (745887741680).

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

511045252000 is a wasteful number, since it uses less digits than its factorization.

511045252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131771 (or 131753 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 511045252000 its reverse (252540115), we get a palindrome (511297792115).

The spelling of 511045252000 in words is "five hundred eleven billion, forty-five million, two hundred fifty-two thousand".