429508526161 has 27 divisors (see below), whose sum is σ = 511325224347. Its totient is φ = 360348090960.

The previous prime is 429508526159. The next prime is 429508526177. The reversal of 429508526161 is 161625805924.

It is a happy number.

The square root of 429508526161 is 655369.

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., 63536764225 + 365971761936 = 252065^2 + 604956^2 .

It is not a de Polignac number, because 429508526161 - 2¹ = 429508526159 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (429508526101) 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, 93715476 + ... + 93720058.

Almost surely, 2^429508526161 is an apocalyptic number.

429508526161 is the 655369-th square number.

429508526161 is the 327685-th centered octagonal number.

It is an amenable number.

429508526161 is a deficient number, since it is larger than the sum of its proper divisors (81816698186).

429508526161 is an frugal number, since it uses more digits than its factorization.

429508526161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9214 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

Multiplying 429508526161 by its sum of digits (49), we get a square (21045917781889 = 4587583²).

The spelling of 429508526161 in words is "four hundred twenty-nine billion, five hundred eight million, five hundred twenty-six thousand, one hundred sixty-one".