1009193031396 has 243 divisors, whose sum is σ = 2903291712867. Its totient is φ = 295348284000.

The previous prime is 1009193031361. The next prime is 1009193031437. The reversal of 1009193031396 is 6931303919001.

The square root of 1009193031396 is 1004586.

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

It is a super-3 number, since 3×1009193031396³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2055382711 + ... + 2055383201.

Almost surely, 2^{1009193031396} is an apocalyptic number.

1009193031396 is the 1004586-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009193031396

1009193031396 is an abundant number, since it is smaller than the sum of its proper divisors (1894098681471).

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

1009193031396 is a wasteful number, since it uses less digits than its factorization.

1009193031396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 45.

The spelling of 1009193031396 in words is "one trillion, nine billion, one hundred ninety-three million, thirty-one thousand, three hundred ninety-six".