501333117162480 has 640 divisors, whose sum is σ = 1768714420746240. Its totient is φ = 130473154805760.

The previous prime is 501333117162461. The next prime is 501333117162481. The reversal of 501333117162480 is 84261711333105.

501333117162480 is a `hidden beast` number, since 5 + 0 + 1 + 3 + 3 + 3 + 1 + 1 + 7 + 162 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501333117162481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20804781792 + ... + 20804805888.

It is an arithmetic number, because the mean of its divisors is an integer number (2763616282416).

Almost surely, 2^{501333117162480} 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 501333117162480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884357210373120).

501333117162480 is an abundant number, since it is smaller than the sum of its proper divisors (1267381303583760).

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

501333117162480 is a wasteful number, since it uses less digits than its factorization.

501333117162480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25126 (or 25114 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

Adding to 501333117162480 its reverse (84261711333105), we get a palindrome (585594828495585).

The spelling of 501333117162480 in words is "five hundred one trillion, three hundred thirty-three billion, one hundred seventeen million, one hundred sixty-two thousand, four hundred eighty".