510534052000 has 192 divisors, whose sum is σ = 1437452400384. Its totient is φ = 174567398400.

The previous prime is 510534051971. The next prime is 510534052003. The reversal of 510534052000 is 250435015.

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

It is not an unprimeable number, because it can be changed into a prime (510534052003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10419559 + ... + 10468441.

It is an arithmetic number, because the mean of its divisors is an integer number (7486731252).

Almost surely, 2^510534052000 is an apocalyptic number.

510534052000 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 510534052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718726200192).

510534052000 is an abundant number, since it is smaller than the sum of its proper divisors (926918348384).

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

510534052000 is a wasteful number, since it uses less digits than its factorization.

510534052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49288 (or 49270 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 510534052000 its reverse (250435015), we get a palindrome (510784487015).

The spelling of 510534052000 in words is "five hundred ten billion, five hundred thirty-four million, fifty-two thousand".