501025052000 has 192 divisors, whose sum is σ = 1344221319168. Its totient is φ = 182015680000.

The previous prime is 501025051973. The next prime is 501025052009. The reversal of 501025052000 is 250520105.

It is a super-2 number, since 2×501025052000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501025052009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51167105 + ... + 51176895.

It is an arithmetic number, because the mean of its divisors is an integer number (7001152704).

Almost surely, 2^501025052000 is an apocalyptic number.

501025052000 is a gapful number since it is divisible by the number (50) 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 501025052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672110659584).

501025052000 is an abundant number, since it is smaller than the sum of its proper divisors (843196267168).

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

501025052000 is a wasteful number, since it uses less digits than its factorization.

501025052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10990 (or 10972 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

Adding to 501025052000 its reverse (250520105), we get a palindrome (501275572105).

The spelling of 501025052000 in words is "five hundred one billion, twenty-five million, fifty-two thousand".