501552202255104 has 1440 divisors, whose sum is σ = 1925798034182400. Its totient is φ = 113922071101440.

The previous prime is 501552202255057. The next prime is 501552202255121. The reversal of 501552202255104 is 401552202255105.

It is a super-2 number, since 2×501552202255104² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5010011002 + ... + 5010111110.

It is an arithmetic number, because the mean of its divisors is an integer number (1337359745960).

Almost surely, 2^{501552202255104} 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 501552202255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962899017091200).

501552202255104 is an abundant number, since it is smaller than the sum of its proper divisors (1424245831927296).

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

501552202255104 is a wasteful number, since it uses less digits than its factorization.

501552202255104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100199 (or 100164 counting only the distinct ones).

The product of its (nonzero) digits is 200000, while the sum is 39.

Subtracting from 501552202255104 its reverse (401552202255105), we obtain a palindrome (99999999999999).

The spelling of 501552202255104 in words is "five hundred one trillion, five hundred fifty-two billion, two hundred two million, two hundred fifty-five thousand, one hundred four".