76652013321 has 81 divisors (see below), whose sum is σ = 124427178837. Its totient is φ = 45449501760.

The previous prime is 76652013311. The next prime is 76652013379. The reversal of 76652013321 is 12331025667.

The square root of 76652013321 is 276861.

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

76652013321 is a `hidden beast` number, since 76 + 65 + 201 + 3 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1281998025 + 75370015296 = 35805^2 + 274536^2 .

It is not a de Polignac number, because 76652013321 - 2¹⁷ = 76651882249 is a prime.

It is a super-2 number, since 2×76652013321² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (76652013311) 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 80 ways as a sum of consecutive naturals, for example, 334724835 + ... + 334725063.

Almost surely, 2^76652013321 is an apocalyptic number.

76652013321 is the 276861-st square number.

76652013321 is the 138431-st centered octagonal number.

It is an amenable number.

76652013321 is a deficient number, since it is larger than the sum of its proper divisors (47775165516).

76652013321 is a wasteful number, since it uses less digits than its factorization.

76652013321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Multiplying 76652013321 by its sum of digits (36), we get a square (2759472479556 = 1661166²).

Adding to 76652013321 its reverse (12331025667), we get a palindrome (88983038988).

The spelling of 76652013321 in words is "seventy-six billion, six hundred fifty-two million, thirteen thousand, three hundred twenty-one".