933138612081 has 243 divisors, whose sum is σ = 1636867873953. Its totient is φ = 511897950720.

The previous prime is 933138612079. The next prime is 933138612083. The reversal of 933138612081 is 180216831339.

The square root of 933138612081 is 965991.

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

It is an interprime number because it is at equal distance from previous prime (933138612079) and next prime (933138612083).

It can be written as a sum of positive squares in 4 ways, for example, as 8425587681 + 924713024400 = 91791^2 + 961620^2 .

It is not a de Polignac number, because 933138612081 - 2¹ = 933138612079 is a prime.

It is a super-2 number, since 2×933138612081² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (933138612083) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 19854013000 + ... + 19854013046.

Almost surely, 2^933138612081 is an apocalyptic number.

933138612081 is the 965991-st square number.

933138612081 is the 482996-th centered octagonal number.

It is an amenable number.

933138612081 is a deficient number, since it is larger than the sum of its proper divisors (703729261872).

933138612081 is a wasteful number, since it uses less digits than its factorization.

933138612081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 933138612081 in words is "nine hundred thirty-three billion, one hundred thirty-eight million, six hundred twelve thousand, eighty-one".