29905130761 has 27 divisors (see below), whose sum is σ = 33460422093. Its totient is φ = 26707463640.

The previous prime is 29905130743. The next prime is 29905130767. The reversal of 29905130761 is 16703150992.

The square root of 29905130761 is 172931.

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

It is not a de Polignac number, because 29905130761 - 2¹¹ = 29905128713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29905130767) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150276940 + ... + 150277138.

Almost surely, 2^29905130761 is an apocalyptic number.

29905130761 is the 172931-st square number.

29905130761 is the 86466-th centered octagonal number.

It is an amenable number.

29905130761 is a deficient number, since it is larger than the sum of its proper divisors (3555291332).

29905130761 is an frugal number, since it uses more digits than its factorization.

29905130761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The spelling of 29905130761 in words is "twenty-nine billion, nine hundred five million, one hundred thirty thousand, seven hundred sixty-one".