929139838561 has 9 divisors (see below), whose sum is σ = 1021297593043. Its totient is φ = 844662941320.

The previous prime is 929139838553. The next prime is 929139838577. The reversal of 929139838561 is 165838931929.

The square root of 929139838561 is 963919.

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., 28804538961 + 900335299600 = 169719^2 + 948860^2 .

It is not a de Polignac number, because 929139838561 - 2³ = 929139838553 is a prime.

It is a super-2 number, since 2×929139838561² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 929139838493 and 929139838502.

It is not an unprimeable number, because it can be changed into a prime (929139838961) 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, 10559295 + ... + 10646923.

Almost surely, 2^929139838561 is an apocalyptic number.

929139838561 is the 963919-th square number.

929139838561 is the 481960-th centered octagonal number.

It is an amenable number.

929139838561 is a deficient number, since it is larger than the sum of its proper divisors (92157754482).

929139838561 is an frugal number, since it uses more digits than its factorization.

929139838561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175280 (or 87640 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 64.

Multiplying 929139838561 by its sum of digits (64), we get a square (59464949667904 = 7711352²).

The spelling of 929139838561 in words is "nine hundred twenty-nine billion, one hundred thirty-nine million, eight hundred thirty-eight thousand, five hundred sixty-one".