1013483520 has 288 divisors, whose sum is σ = 4016900160. Its totient is φ = 231505920.

The previous prime is 1013483519. The next prime is 1013483567. The reversal of 1013483520 is 253843101.

It is a happy number.

1013483520 is a `hidden beast` number, since 1 + 0 + 134 + 8 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644335 + ... + 645905.

It is an arithmetic number, because the mean of its divisors is an integer number (13947570).

Almost surely, 2^1013483520 is an apocalyptic number.

1013483520 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 1013483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008450080).

1013483520 is an abundant number, since it is smaller than the sum of its proper divisors (3003416640).

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

1013483520 is a wasteful number, since it uses less digits than its factorization.

1013483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1013483520 is about 31835.2559279802. The cubic root of 1013483520 is about 1004.4744560491.

The spelling of 1013483520 in words is "one billion, thirteen million, four hundred eighty-three thousand, five hundred twenty".