13005378 has 12 divisors (see below), whose sum is σ = 28178358. Its totient is φ = 4335120.

The previous prime is 13005371. The next prime is 13005397. The reversal of 13005378 is 87350031.

It can be written as a sum of positive squares in only one way, i.e., 12089529 + 915849 = 3477^2 + 957^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13005371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 361243 + ... + 361278.

Almost surely, 2^13005378 is an apocalyptic number.

13005378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13005378 is an abundant number, since it is smaller than the sum of its proper divisors (15172980).

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

13005378 is a wasteful number, since it uses less digits than its factorization.

13005378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722529 (or 722526 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13005378 is about 3606.2969927614. The cubic root of 13005378 is about 235.1658886043.

The spelling of 13005378 in words is "thirteen million, five thousand, three hundred seventy-eight".