29952878761 has 9 divisors (see below), whose sum is σ = 32436618789. Its totient is φ = 27646734336.

The previous prime is 29952878729. The next prime is 29952878773. The reversal of 29952878761 is 16787825992.

The square root of 29952878761 is 173069.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7924382361 + 22028496400 = 89019^2 + 148420^2 .

It is not a de Polignac number, because 29952878761 - 2⁵ = 29952878729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29952878693 and 29952878702.

It is not an unprimeable number, because it can be changed into a prime (29952278761) 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, 2243241 + ... + 2256553.

Almost surely, 2^29952878761 is an apocalyptic number.

29952878761 is the 173069-th square number.

29952878761 is the 86535-th centered octagonal number.

It is an amenable number.

29952878761 is a deficient number, since it is larger than the sum of its proper divisors (2483740028).

29952878761 is an frugal number, since it uses more digits than its factorization.

29952878761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26652 (or 13326 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 64.

Multiplying 29952878761 by its sum of digits (64), we get a square (1916984240704 = 1384552²).

The spelling of 29952878761 in words is "twenty-nine billion, nine hundred fifty-two million, eight hundred seventy-eight thousand, seven hundred sixty-one".