13578541729 has 9 divisors (see below), whose sum is σ = 14333152563. Its totient is φ = 12861784152.

The previous prime is 13578541723. The next prime is 13578541759. The reversal of 13578541729 is 92714587531.

The square root of 13578541729 is 116527.

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., 13148062225 + 430479504 = 114665^2 + 20748^2 .

It is not a de Polignac number, because 13578541729 - 2¹³ = 13578533537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13578541723) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2210947 + ... + 2217079.

It is an arithmetic number, because the mean of its divisors is an integer number (1592572507).

Almost surely, 2^13578541729 is an apocalyptic number.

13578541729 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13578541729 is the 116527-th square number.

13578541729 is the 58264-th centered octagonal number.

It is an amenable number.

13578541729 is a deficient number, since it is larger than the sum of its proper divisors (754610834).

13578541729 is an frugal number, since it uses more digits than its factorization.

13578541729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12304 (or 6152 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 52.

The spelling of 13578541729 in words is "thirteen billion, five hundred seventy-eight million, five hundred forty-one thousand, seven hundred twenty-nine".