331765632081 has 81 divisors (see below), whose sum is σ = 539833280571. Its totient is φ = 203790223728.

The previous prime is 331765632073. The next prime is 331765632103. The reversal of 331765632081 is 180236567133.

The square root of 331765632081 is 575991.

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

331765632081 is a `hidden beast` number, since 3 + 3 + 1 + 7 + 6 + 5 + 632 + 0 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49077756225 + 282687875856 = 221535^2 + 531684^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 331765632081 - 2³ = 331765632073 is a prime.

It is a super-2 number, since 2×331765632081² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331765632001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 606518250 + ... + 606518796.

Almost surely, 2^331765632081 is an apocalyptic number.

331765632081 is the 575991-st square number.

331765632081 is the 287996-th centered octagonal number.

It is an amenable number.

331765632081 is a deficient number, since it is larger than the sum of its proper divisors (208067648490).

331765632081 is an frugal number, since it uses more digits than its factorization.

331765632081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 331765632081 in words is "three hundred thirty-one billion, seven hundred sixty-five million, six hundred thirty-two thousand, eighty-one".