1327792985401 has 9 divisors (see below), whose sum is σ = 1356700320399. Its totient is φ = 1299489065064.

The previous prime is 1327792985383. The next prime is 1327792985413. The reversal of 1327792985401 is 1045892977231.

The square root of 1327792985401 is 1152299.

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., 286829869225 + 1040963116176 = 535565^2 + 1020276^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1327792985401 is a prime.

It is a super-3 number, since 3×1327792985401³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1327792985471) 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, 54145795 + ... + 54170311.

Almost surely, 2^{1327792985401} is an apocalyptic number.

1327792985401 is the 1152299-th square number.

1327792985401 is the 576150-th centered octagonal number.

It is an amenable number.

1327792985401 is a deficient number, since it is larger than the sum of its proper divisors (28907334998).

1327792985401 is an frugal number, since it uses more digits than its factorization.

1327792985401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49128 (or 24564 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 1327792985401 in words is "one trillion, three hundred twenty-seven billion, seven hundred ninety-two million, nine hundred eighty-five thousand, four hundred one".