510146005072 has 80 divisors (see below), whose sum is σ = 1092674350080. Its totient is φ = 228789475200.

The previous prime is 510146005063. The next prime is 510146005073. The reversal of 510146005072 is 270500641015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510146005073) 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, 21163747 + ... + 21187837.

It is an arithmetic number, because the mean of its divisors is an integer number (13658429376).

Almost surely, 2^510146005072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510146005072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546337175040).

510146005072 is an abundant number, since it is smaller than the sum of its proper divisors (582528345008).

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

510146005072 is a wasteful number, since it uses less digits than its factorization.

510146005072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25712 (or 25706 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

Adding to 510146005072 its reverse (270500641015), we get a palindrome (780646646087).

The spelling of 510146005072 in words is "five hundred ten billion, one hundred forty-six million, five thousand, seventy-two".