501382951056 has 675 divisors, whose sum is σ = 1688197532241. Its totient is φ = 143565447168.

The previous prime is 501382950989. The next prime is 501382951057. The reversal of 501382951056 is 650159283105.

The square root of 501382951056 is 708084.

It is a perfect power (a square), and thus also a powerful number.

501382951056 is a `hidden beast` number, since 5 + 0 + 1 + 3 + 82 + 9 + 510 + 56 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 439680391056 + 61702560000 = 663084^2 + 248400^2 .

It is not an unprimeable number, because it can be changed into a prime (501382951057) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5633516260 + ... + 5633516348.

Almost surely, 2^501382951056 is an apocalyptic number.

501382951056 is the 708084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501382951056

501382951056 is an abundant number, since it is smaller than the sum of its proper divisors (1186814581185).

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

501382951056 is a wasteful number, since it uses less digits than its factorization.

501382951056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 501382951056 in words is "five hundred one billion, three hundred eighty-two million, nine hundred fifty-one thousand, fifty-six".