501512046516 has 144 divisors (see below), whose sum is σ = 1370284231680. Its totient is φ = 153740920320.

The previous prime is 501512046433. The next prime is 501512046533. The reversal of 501512046516 is 615640215105.

501512046516 is a `hidden beast` number, since 5 + 0 + 15 + 120 + 4 + 6 + 516 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209573416 + ... + 209575808.

It is an arithmetic number, because the mean of its divisors is an integer number (9515862720).

Almost surely, 2^501512046516 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 501512046516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685142115840).

501512046516 is an abundant number, since it is smaller than the sum of its proper divisors (868772185164).

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

501512046516 is a wasteful number, since it uses less digits than its factorization.

501512046516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 501512046516 in words is "five hundred one billion, five hundred twelve million, forty-six thousand, five hundred sixteen".