13074779025 has 315 divisors, whose sum is σ = 31104085755. Its totient is φ = 5433674400.

The previous prime is 13074778943. The next prime is 13074779057. The reversal of 13074779025 is 52097747031.

The square root of 13074779025 is 114345.

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., 4706920449 + 8367858576 = 68607^2 + 91476^2 .

It is a tau number, because it is divible by the number of its divisors (315).

It is not a de Polignac number, because 13074779025 - 2¹³ = 13074770833 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 1188616270 + ... + 1188616280.

Almost surely, 2^13074779025 is an apocalyptic number.

13074779025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13074779025 is the 114345-th square number.

13074779025 is the 57173-rd centered octagonal number.

It is an amenable number.

13074779025 is an abundant number, since it is smaller than the sum of its proper divisors (18029306730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13074779025 is an frugal number, since it uses more digits than its factorization.

13074779025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 13074779025 in words is "thirteen billion, seventy-four million, seven hundred seventy-nine thousand, twenty-five".