78529413361 has 63 divisors (see below), whose sum is σ = 98994277881. Its totient is φ = 62285262984.

The previous prime is 78529413359. The next prime is 78529413377. The reversal of 78529413361 is 16331492587.

The square root of 78529413361 is 280231.

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

It is not a de Polignac number, because 78529413361 - 2¹ = 78529413359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78529413341) 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 62 ways as a sum of consecutive naturals, for example, 1826265406 + ... + 1826265448.

Almost surely, 2^78529413361 is an apocalyptic number.

78529413361 is the 280231-st square number.

78529413361 is the 140116-th centered octagonal number.

It is an amenable number.

78529413361 is a deficient number, since it is larger than the sum of its proper divisors (20464864520).

78529413361 is an frugal number, since it uses more digits than its factorization.

78529413361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 69 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

Multiplying 78529413361 by its sum of digits (49), we get a square (3847941254689 = 1961617²).

78529413361 divided by its sum of digits (49) gives a square (1602641089 = 40033²).

The spelling of 78529413361 in words is "seventy-eight billion, five hundred twenty-nine million, four hundred thirteen thousand, three hundred sixty-one".