1293351209536 has 21 divisors (see below), whose sum is σ = 2566511860489. Its totient is φ = 646671055744.

The previous prime is 1293351209503. The next prime is 1293351209551. The reversal of 1293351209536 is 6359021533921.

The square root of 1293351209536 is 1137256.

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., 4090881600 + 1289260327936 = 63960^2 + 1135456^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1293351209536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 9026970 + ... + 9169126.

Almost surely, 2^{1293351209536} is an apocalyptic number.

1293351209536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1293351209536 is the 1137256-th square number.

It is an amenable number.

1293351209536 is a deficient number, since it is larger than the sum of its proper divisors (1273160650953).

1293351209536 is an frugal number, since it uses more digits than its factorization.

1293351209536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284326 (or 142159 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 49.

Multiplying 1293351209536 by its sum of digits (49), we get a square (63374209267264 = 7960792²).

The spelling of 1293351209536 in words is "one trillion, two hundred ninety-three billion, three hundred fifty-one million, two hundred nine thousand, five hundred thirty-six".