515073015072 has 960 divisors, whose sum is σ = 1934783262720. Its totient is φ = 130562150400.

The previous prime is 515073015053. The next prime is 515073015089. The reversal of 515073015072 is 270510370515.

It is a happy number.

515073015072 is a `hidden beast` number, since 5 + 1 + 507 + 30 + 1 + 50 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1900638297 + ... + 1900638567.

It is an arithmetic number, because the mean of its divisors is an integer number (2015399232).

Almost surely, 2^515073015072 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 515073015072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967391631360).

515073015072 is an abundant number, since it is smaller than the sum of its proper divisors (1419710247648).

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

515073015072 is a wasteful number, since it uses less digits than its factorization.

515073015072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

Adding to 515073015072 its reverse (270510370515), we get a palindrome (785583385587).

The spelling of 515073015072 in words is "five hundred fifteen billion, seventy-three million, fifteen thousand, seventy-two".