1050543001600 has 117 divisors (see below), whose sum is σ = 2605842171373. Its totient is φ = 420086005760.

The previous prime is 1050543001553. The next prime is 1050543001621. The reversal of 1050543001600 is 61003450501.

The square root of 1050543001600 is 1024960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 378195480576 + 672347521024 = 614976^2 + 819968^2 .

It is a super-2 number, since 2×1050543001600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 327985599 + ... + 327988801.

Almost surely, 2^{1050543001600} is an apocalyptic number.

1050543001600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1050543001600 is the 1024960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050543001600

1050543001600 is an abundant number, since it is smaller than the sum of its proper divisors (1555299169773).

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

1050543001600 is an frugal number, since it uses more digits than its factorization.

1050543001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Multiplying 1050543001600 by its sum of digits (25), we get a square (26263575040000 = 5124800²).

1050543001600 divided by its sum of digits (25) gives a square (42021720064 = 204992²).

The spelling of 1050543001600 in words is "one trillion, fifty billion, five hundred forty-three million, one thousand, six hundred".