501062016 has 192 divisors, whose sum is σ = 1648581120. Its totient is φ = 132028416.

The previous prime is 501062011. The next prime is 501062041. The reversal of 501062016 is 610260105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 501061983 and 501062001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501062011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453721 + ... + 454823.

It is an arithmetic number, because the mean of its divisors is an integer number (8586360).

Almost surely, 2^501062016 is an apocalyptic number.

501062016 is a gapful number since it is divisible by the number (56) 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 501062016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824290560).

501062016 is an abundant number, since it is smaller than the sum of its proper divisors (1147519104).

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

501062016 is a wasteful number, since it uses less digits than its factorization.

501062016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 501062016 is about 22384.4145780049. The cubic root of 501062016 is about 794.2620770260.

The spelling of 501062016 in words is "five hundred one million, sixty-two thousand, sixteen".