1255753324816 has 45 divisors (see below), whose sum is σ = 2442429029541. Its totient is φ = 625458398976.

The previous prime is 1255753324811. The next prime is 1255753324849. The reversal of 1255753324816 is 6184233575521.

The square root of 1255753324816 is 1120604.

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., 140820067600 + 1114933257216 = 375260^2 + 1055904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1255753324811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1940885805 + ... + 1940886451.

Almost surely, 2^{1255753324816} is an apocalyptic number.

1255753324816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1255753324816 is the 1120604-th square number.

It is an amenable number.

1255753324816 is a deficient number, since it is larger than the sum of its proper divisors (1186675704725).

1255753324816 is an frugal number, since it uses more digits than its factorization.

1255753324816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 1082 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 52.

The spelling of 1255753324816 in words is "one trillion, two hundred fifty-five billion, seven hundred fifty-three million, three hundred twenty-four thousand, eight hundred sixteen".