1013741520 has 160 divisors (see below), whose sum is σ = 3452350464. Its totient is φ = 244032000.

The previous prime is 1013741513. The next prime is 1013741527. The reversal of 1013741520 is 251473101.

It is an interprime number because it is at equal distance from previous prime (1013741513) and next prime (1013741527).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013741527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397369 + ... + 399911.

Almost surely, 2^1013741520 is an apocalyptic number.

1013741520 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 1013741520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726175232).

1013741520 is an abundant number, since it is smaller than the sum of its proper divisors (2438608944).

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

1013741520 is a wasteful number, since it uses less digits than its factorization.

1013741520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1013741520 is about 31839.3077814201. The cubic root of 1013741520 is about 1004.5596843456.

The spelling of 1013741520 in words is "one billion, thirteen million, seven hundred forty-one thousand, five hundred twenty".