1052541945000 has 800 divisors, whose sum is σ = 4534233580800. Its totient is φ = 222067008000.

The previous prime is 1052541944989. The next prime is 1052541945011. The reversal of 1052541945000 is 5491452501.

1052541945000 is a `hidden beast` number, since 1 + 0 + 5 + 25 + 41 + 94 + 500 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1052541944989) and next prime (1052541945011).

It is a super-3 number, since 3×1052541945000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 36840721 + ... + 36869279.

It is an arithmetic number, because the mean of its divisors is an integer number (5667791976).

Almost surely, 2^{1052541945000} is an apocalyptic number.

1052541945000 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 1052541945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267116790400).

1052541945000 is an abundant number, since it is smaller than the sum of its proper divisors (3481691635800).

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

1052541945000 is a wasteful number, since it uses less digits than its factorization.

1052541945000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28617 (or 28589 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 1052541945000 in words is "one trillion, fifty-two billion, five hundred forty-one million, nine hundred forty-five thousand".