29556142561 has 9 divisors (see below), whose sum is σ = 32489409043. Its totient is φ = 26867501320.

The previous prime is 29556142537. The next prime is 29556142633. The reversal of 29556142561 is 16524165592.

The square root of 29556142561 is 171919.

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., 29525892561 + 30250000 = 171831^2 + 5500^2 .

It is not a de Polignac number, because 29556142561 - 2⁵ = 29556142529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29556148561) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1883295 + ... + 1898923.

Almost surely, 2^29556142561 is an apocalyptic number.

29556142561 is the 171919-th square number.

29556142561 is the 85960-th centered octagonal number.

It is an amenable number.

29556142561 is a deficient number, since it is larger than the sum of its proper divisors (2933266482).

29556142561 is an frugal number, since it uses more digits than its factorization.

29556142561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31280 (or 15640 counting only the distinct ones).

The product of its digits is 648000, while the sum is 46.

The spelling of 29556142561 in words is "twenty-nine billion, five hundred fifty-six million, one hundred forty-two thousand, five hundred sixty-one".