1013520 has 80 divisors (see below), whose sum is σ = 3249792. Its totient is φ = 261120.

The previous prime is 1013503. The next prime is 1013527. The reversal of 1013520 is 253101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1013520³ = 3123332527578624000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1013496 and 1013505.

It is not an unprimeable number, because it can be changed into a prime (1013527) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9789 + ... + 9891.

2^1013520 is an apocalyptic number.

1013520 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 1013520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896).

1013520 is an abundant number, since it is smaller than the sum of its proper divisors (2236272).

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

1013520 is a wasteful number, since it uses less digits than its factorization.

1013520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1013520 is about 1006.7373043649. The cubic root of 1013520 is about 100.4486507812.

Adding to 1013520 its reverse (253101), we get a palindrome (1266621).

It can be divided in two parts, 10 and 13520, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 1013520 in words is "one million, thirteen thousand, five hundred twenty".