1000013520 has 80 divisors (see below), whose sum is σ = 3381872832. Its totient is φ = 242426880.

The previous prime is 1000013519. The next prime is 1000013537. The reversal of 1000013520 is 253100001.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1000013496 and 1000013505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186757 + ... + 192036.

Almost surely, 2^1000013520 is an apocalyptic number.

1000013520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000013520 is an abundant number, since it is smaller than the sum of its proper divisors (2381859312).

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

1000013520 is a wasteful number, since it uses less digits than its factorization.

1000013520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378820 (or 378814 counting only the distinct ones).

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

The square root of 1000013520 is about 31622.9903709311. The cubic root of 1000013520 is about 1000.0045066464.

Adding to 1000013520 its reverse (253100001), we get a palindrome (1253113521).

The spelling of 1000013520 in words is "one billion, thirteen thousand, five hundred twenty".