13520520 has 192 divisors, whose sum is σ = 49533120. Its totient is φ = 3297024.

The previous prime is 13520509. The next prime is 13520531. The reversal of 13520520 is 2502531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13520509) and next prime (13520531).

It is a super-2 number, since 2×13520520² = 365608922140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13520493 and 13520502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126307 + ... + 126413.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 2^13520520 is an apocalyptic number.

13520520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13520520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

13520520 is an abundant number, since it is smaller than the sum of its proper divisors (36012600).

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

13520520 is a wasteful number, since it uses less digits than its factorization.

13520520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 13520520 is about 3677.0259721683. The cubic root of 13520520 is about 238.2307392012.

The spelling of 13520520 in words is "thirteen million, five hundred twenty thousand, five hundred twenty".