1020052000000 has 504 divisors, whose sum is σ = 2816851443840. Its totient is φ = 365568000000.

The previous prime is 1020051999979. The next prime is 1020052000027. The reversal of 1020052000000 is 2500201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4267999881 + ... + 4268000119.

It is an arithmetic number, because the mean of its divisors is an integer number (5588990960).

Almost surely, 2^{1020052000000} is an apocalyptic number.

1020052000000 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 1020052000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408425721920).

1020052000000 is an abundant number, since it is smaller than the sum of its proper divisors (1796799443840).

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

1020052000000 is an frugal number, since it uses more digits than its factorization.

1020052000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 1020052000000 its reverse (2500201), we get a palindrome (1020054500201).

The spelling of 1020052000000 in words is "one trillion, twenty billion, fifty-two million", and thus it is an aban number and an uban number.