331553701249 has 9 divisors (see below), whose sum is σ = 352214503491. Its totient is φ = 312041329440.

The previous prime is 331553701223. The next prime is 331553701253. The reversal of 331553701249 is 942107355133.

The square root of 331553701249 is 575807.

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., 258130044225 + 73423657024 = 508065^2 + 270968^2 .

It is not a de Polignac number, because 331553701249 - 2⁵ = 331553701217 is a prime.

It is a super-2 number, since 2×331553701249² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331553701649) 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 8 ways as a sum of consecutive naturals, for example, 9771784 + ... + 9805654.

Almost surely, 2^331553701249 is an apocalyptic number.

331553701249 is the 575807-th square number.

331553701249 is the 287904-th centered octagonal number.

It is an amenable number.

331553701249 is a deficient number, since it is larger than the sum of its proper divisors (20660802242).

331553701249 is an frugal number, since it uses more digits than its factorization.

331553701249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67776 (or 33888 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 43.

The spelling of 331553701249 in words is "three hundred thirty-one billion, five hundred fifty-three million, seven hundred one thousand, two hundred forty-nine".