39552061129 has 9 divisors (see below), whose sum is σ = 46011159981. Its totient is φ = 33900573420.

The previous prime is 39552061069. The next prime is 39552061141. The reversal of 39552061129 is 92116025593.

The square root of 39552061129 is 198877.

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

It is not a de Polignac number, because 39552061129 - 2⁷ = 39552061001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39552061429) 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, 1377934 + ... + 1406344.

It is an arithmetic number, because the mean of its divisors is an integer number (5112351109).

Almost surely, 2^39552061129 is an apocalyptic number.

39552061129 is the 198877-th square number.

39552061129 is the 99439-th centered octagonal number.

It is an amenable number.

39552061129 is a deficient number, since it is larger than the sum of its proper divisors (6459098852).

39552061129 is an frugal number, since it uses more digits than its factorization.

39552061129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56836 (or 28418 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 43.

The spelling of 39552061129 in words is "thirty-nine billion, five hundred fifty-two million, sixty-one thousand, one hundred twenty-nine".