1993533201 has 75 divisors (see below), whose sum is σ = 3357618715. Its totient is φ = 1178733600.

The previous prime is 1993533121. The next prime is 1993533239. The reversal of 1993533201 is 1023353991.

The square root of 1993533201 is 44649.

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

1993533201 is a `hidden beast` number, since 19 + 93 + 533 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96059601 + 1897473600 = 9801^2 + 43560^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1993533201 is a prime.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (1993533281) by changing a digit.

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 74 ways as a sum of consecutive naturals, for example, 48622741 + ... + 48622781.

Almost surely, 2^1993533201 is an apocalyptic number.

1993533201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1993533201 is the 44649-th square number.

1993533201 is the 22325-th centered octagonal number.

It is an amenable number.

1993533201 is a deficient number, since it is larger than the sum of its proper divisors (1364085514).

1993533201 is an frugal number, since it uses more digits than its factorization.

1993533201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The cubic root of 1993533201 is about 1258.5616409721.

Multiplying 1993533201 by its sum of digits (36), we get a square (71767195236 = 267894²).

The spelling of 1993533201 in words is "one billion, nine hundred ninety-three million, five hundred thirty-three thousand, two hundred one".