13528419610 has 12 divisors (see below), whose sum is σ = 24351817374. Its totient is φ = 5411220720.

The previous prime is 13528419601. The next prime is 13528419643. The reversal of 13528419610 is 1691482531.

13528419610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2079633609 + 11448786001 = 45603^2 + 106999^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 349420 + ... + 386200.

Almost surely, 2^13528419610 is an apocalyptic number.

13528419610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13528419610 is a deficient number, since it is larger than the sum of its proper divisors (10823397764).

13528419610 is an frugal number, since it uses more digits than its factorization.

13528419610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73569 (or 36788 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

Multiplying 13528419610 by its sum of digits (40), we get a square (541136784400 = 735620²).

Multiplying 13528419610 by its product of nonzero digits (51840), we get a square (701313272582400 = 26482320²).

The spelling of 13528419610 in words is "thirteen billion, five hundred twenty-eight million, four hundred nineteen thousand, six hundred ten".