1025200520500 has 192 divisors, whose sum is σ = 2446539863040. Its totient is φ = 373022592000.

The previous prime is 1025200520483. The next prime is 1025200520557. The reversal of 1025200520500 is 50250025201.

It is a super-2 number, since 2×1025200520500² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232522296 + ... + 232526704.

It is an arithmetic number, because the mean of its divisors is an integer number (12742395120).

Almost surely, 2^{1025200520500} is an apocalyptic number.

1025200520500 is a gapful number since it is divisible by the number (10) 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 1025200520500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223269931520).

1025200520500 is an abundant number, since it is smaller than the sum of its proper divisors (1421339342540).

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

1025200520500 is a wasteful number, since it uses less digits than its factorization.

1025200520500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

Adding to 1025200520500 its reverse (50250025201), we get a palindrome (1075450545701).

The spelling of 1025200520500 in words is "one trillion, twenty-five billion, two hundred million, five hundred twenty thousand, five hundred".