77132286529 has 9 divisors (see below), whose sum is σ = 77587924323. Its totient is φ = 76679313792.

The previous prime is 77132286527. The next prime is 77132286577. The reversal of 77132286529 is 92568223177.

It is a happy number.

The square root of 77132286529 is 277727.

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., 18688257025 + 58444029504 = 136705^2 + 241752^2 .

It is not a de Polignac number, because 77132286529 - 2¹ = 77132286527 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77132286523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53600592 + ... + 53602030.

Almost surely, 2^77132286529 is an apocalyptic number.

77132286529 is the 277727-th square number.

77132286529 is the 138864-th centered octagonal number.

It is an amenable number.

77132286529 is a deficient number, since it is larger than the sum of its proper divisors (455637794).

77132286529 is an frugal number, since it uses more digits than its factorization.

77132286529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 1632 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 52.

The spelling of 77132286529 in words is "seventy-seven billion, one hundred thirty-two million, two hundred eighty-six thousand, five hundred twenty-nine".