508534630272 has 672 divisors, whose sum is σ = 1614087618840. Its totient is φ = 159444080640.

The previous prime is 508534630271. The next prime is 508534630343. The reversal of 508534630272 is 272036435805.

508534630272 is a `hidden beast` number, since 5 + 0 + 8 + 5 + 3 + 4 + 630 + 2 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508534630271) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4752660043 + ... + 4752660149.

Almost surely, 2^508534630272 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 508534630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807043809420).

508534630272 is an abundant number, since it is smaller than the sum of its proper divisors (1105552988568).

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

508534630272 is an equidigital number, since it uses as much as digits as its factorization.

508534630272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 508534630272 in words is "five hundred eight billion, five hundred thirty-four million, six hundred thirty thousand, two hundred seventy-two".