3138576529 has 15 divisors (see below), whose sum is σ = 3459885465. Its totient is φ = 2847088860.

The previous prime is 3138576521. The next prime is 3138576547. The reversal of 3138576529 is 9256758313.

The square root of 3138576529 is 56023.

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

It is not a de Polignac number, because 3138576529 - 2³ = 3138576521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3138576521) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6778552 + ... + 6779014.

It is an arithmetic number, because the mean of its divisors is an integer number (230659031).

Almost surely, 2^3138576529 is an apocalyptic number.

3138576529 is the 56023-rd square number.

3138576529 is the 28012-nd centered octagonal number.

It is an amenable number.

3138576529 is a deficient number, since it is larger than the sum of its proper divisors (321308936).

3138576529 is an frugal number, since it uses more digits than its factorization.

3138576529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 474 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 49.

The cubic root of 3138576529 is about 1464.1230376813.

Multiplying 3138576529 by its sum of digits (49), we get a square (153790249921 = 392161²).

The spelling of 3138576529 in words is "three billion, one hundred thirty-eight million, five hundred seventy-six thousand, five hundred twenty-nine".