20058207129 has 27 divisors (see below), whose sum is σ = 30788597437. Its totient is φ = 12581009664.

The previous prime is 20058207101. The next prime is 20058207133. The reversal of 20058207129 is 92170285002.

The square root of 20058207129 is 141627.

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

20058207129 is a `hidden beast` number, since 2 + 0 + 0 + 582 + 0 + 71 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143352729 + 19914854400 = 11973^2 + 141120^2 .

It is not a de Polignac number, because 20058207129 - 2¹¹ = 20058205081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20058207093 and 20058207102.

It is not an unprimeable number, because it can be changed into a prime (20058207199) 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, 7221589 + ... + 7224365.

Almost surely, 2^20058207129 is an apocalyptic number.

20058207129 is the 141627-th square number.

20058207129 is the 70814-th centered octagonal number.

It is an amenable number.

20058207129 is a deficient number, since it is larger than the sum of its proper divisors (10730390308).

20058207129 is an frugal number, since it uses more digits than its factorization.

20058207129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 20058207129 by its sum of digits (36), we get a square (722095456644 = 849762²).

The spelling of 20058207129 in words is "twenty billion, fifty-eight million, two hundred seven thousand, one hundred twenty-nine".