13521270961 has 25 divisors (see below), whose sum is σ = 15369082025. Its totient is φ = 11895546300.

The previous prime is 13521270953. The next prime is 13521270989. The reversal of 13521270961 is 16907212531.

The square root of 13521270961 is 116281.

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

It is not a de Polignac number, because 13521270961 - 2³ = 13521270953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13521270961.

It is not an unprimeable number, because it can be changed into a prime (13521270901) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 436170016 + ... + 436170046.

It is an arithmetic number, because the mean of its divisors is an integer number (614763281).

Almost surely, 2^13521270961 is an apocalyptic number.

13521270961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13521270961 is the 116281-st square number.

13521270961 is the 58141-st centered octagonal number.

It is an amenable number.

13521270961 is a deficient number, since it is larger than the sum of its proper divisors (1847811064).

13521270961 is an frugal number, since it uses more digits than its factorization.

13521270961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

It can be divided in two parts, 13521 and 270961, that added together give a palindrome (284482).

The spelling of 13521270961 in words is "thirteen billion, five hundred twenty-one million, two hundred seventy thousand, nine hundred sixty-one".