29415337081 has 27 divisors (see below), whose sum is σ = 32454738351. Its totient is φ = 26648382384.

The previous prime is 29415337067. The next prime is 29415337093. The reversal of 29415337081 is 18073351492.

The square root of 29415337081 is 171509.

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., 4351381225 + 25063955856 = 65965^2 + 158316^2 .

It is not a de Polignac number, because 29415337081 - 2²¹ = 29413239929 is a prime.

It is a super-2 number, since 2×29415337081² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29415337001) 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 26 ways as a sum of consecutive naturals, for example, 176139660 + ... + 176139826.

Almost surely, 2^29415337081 is an apocalyptic number.

29415337081 is the 171509-th square number.

29415337081 is the 85755-th centered octagonal number.

It is an amenable number.

29415337081 is a deficient number, since it is larger than the sum of its proper divisors (3039401270).

29415337081 is an frugal number, since it uses more digits than its factorization.

29415337081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 29415337081 in words is "twenty-nine billion, four hundred fifteen million, three hundred thirty-seven thousand, eighty-one".