2013945129 has 27 divisors (see below), whose sum is σ = 3385560087. Its totient is φ = 1150287264.

The previous prime is 2013945091. The next prime is 2013945139. The reversal of 2013945129 is 9215493102.

The square root of 2013945129 is 44877.

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

2013945129 is a `hidden beast` number, since 2 + 0 + 139 + 4 + 512 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91298025 + 1922647104 = 9555^2 + 43848^2 .

It is not a de Polignac number, because 2013945129 - 2¹³ = 2013936937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013945093 and 2013945102.

It is not an unprimeable number, because it can be changed into a prime (2013945139) 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, 941349 + ... + 943485.

Almost surely, 2^2013945129 is an apocalyptic number.

2013945129 is the 44877-th square number.

2013945129 is the 22439-th centered octagonal number.

It is an amenable number.

2013945129 is a deficient number, since it is larger than the sum of its proper divisors (1371614958).

2013945129 is an frugal number, since it uses more digits than its factorization.

2013945129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The cubic root of 2013945129 is about 1262.8425638264.

Multiplying 2013945129 by its sum of digits (36), we get a square (72502024644 = 269262²).

The spelling of 2013945129 in words is "two billion, thirteen million, nine hundred forty-five thousand, one hundred twenty-nine".