1052312662500 has 576 divisors, whose sum is σ = 3511899224064. Its totient is φ = 242928000000.

The previous prime is 1052312662483. The next prime is 1052312662517. The reversal of 1052312662500 is 52662132501.

1052312662500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1052312662483) and next prime (1052312662517).

It is a super-2 number, since 2×1052312662500² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 727236777 + ... + 727238223.

It is an arithmetic number, because the mean of its divisors is an integer number (6097047264).

Almost surely, 2^{1052312662500} is an apocalyptic number.

1052312662500 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 1052312662500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755949612032).

1052312662500 is an abundant number, since it is smaller than the sum of its proper divisors (2459586561564).

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

1052312662500 is a wasteful number, since it uses less digits than its factorization.

1052312662500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 1052312662500 in words is "one trillion, fifty-two billion, three hundred twelve million, six hundred sixty-two thousand, five hundred".