13819178025 has 81 divisors (see below), whose sum is σ = 26350469743. Its totient is φ = 6921638400.

The previous prime is 13819178017. The next prime is 13819178029. The reversal of 13819178025 is 52087191831.

The square root of 13819178025 is 117555.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7324107561 + 6495070464 = 85581^2 + 80592^2 .

It is not a de Polignac number, because 13819178025 - 2³ = 13819178017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13819178029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29976295 + ... + 29976755.

Almost surely, 2^13819178025 is an apocalyptic number.

13819178025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13819178025 is the 117555-th square number.

13819178025 is the 58778-th centered octagonal number.

It is an amenable number.

13819178025 is a deficient number, since it is larger than the sum of its proper divisors (12531291718).

13819178025 is an equidigital number, since it uses as much as digits as its factorization.

13819178025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

It can be divided in two parts, 13819 and 178025, that added together give a square (191844 = 438²).

The spelling of 13819178025 in words is "thirteen billion, eight hundred nineteen million, one hundred seventy-eight thousand, twenty-five".