1031045283216 has 405 divisors, whose sum is σ = 3277867892481. Its totient is φ = 302379187968.

The previous prime is 1031045283187. The next prime is 1031045283221. The reversal of 1031045283216 is 6123825401301.

The square root of 1031045283216 is 1015404.

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

1031045283216 is a `hidden beast` number, since 1 + 0 + 3 + 104 + 528 + 3 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 152521491600 + 878523791616 = 390540^2 + 937296^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3643269411 + ... + 3643269693.

Almost surely, 2^{1031045283216} is an apocalyptic number.

1031045283216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1031045283216 is the 1015404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031045283216

1031045283216 is an abundant number, since it is smaller than the sum of its proper divisors (2246822609265).

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

1031045283216 is a wasteful number, since it uses less digits than its factorization.

1031045283216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 1031045283216 by its sum of digits (36), we get a square (37117630195776 = 6092424²).

1031045283216 divided by its sum of digits (36) gives a square (28640146756 = 169234²).

The spelling of 1031045283216 in words is "one trillion, thirty-one billion, forty-five million, two hundred eighty-three thousand, two hundred sixteen".