1483253616321 has 63 divisors (see below), whose sum is σ = 2278956090099. Its totient is φ = 964918840032.

The previous prime is 1483253616301. The next prime is 1483253616329. The reversal of 1483253616321 is 1236163523841.

The square root of 1483253616321 is 1217889.

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

1483253616321 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 2 + 5 + 3 + 6 + 1 + 632 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1345226505921 + 138027110400 = 1159839^2 + 371520^2 .

It is not a de Polignac number, because 1483253616321 - 2⁵ = 1483253616289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1483253616329) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 1413968605 + ... + 1413969653.

Almost surely, 2^{1483253616321} is an apocalyptic number.

1483253616321 is the 1217889-th square number.

1483253616321 is the 608945-th centered octagonal number.

It is an amenable number.

1483253616321 is a deficient number, since it is larger than the sum of its proper divisors (795702473778).

1483253616321 is an frugal number, since it uses more digits than its factorization.

1483253616321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 1095 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 1483253616321 in words is "one trillion, four hundred eighty-three billion, two hundred fifty-three million, six hundred sixteen thousand, three hundred twenty-one".