1013985540 has 288 divisors, whose sum is σ = 3424512000. Its totient is φ = 251102592.

The previous prime is 1013985529. The next prime is 1013985611. The reversal of 1013985540 is 455893101.

1013985540 is a `hidden beast` number, since 1 + 0 + 1 + 39 + 85 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1013985495 and 1013985504.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 7294791 + ... + 7294929.

Almost surely, 2^1013985540 is an apocalyptic number.

1013985540 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 1013985540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712256000).

1013985540 is an abundant number, since it is smaller than the sum of its proper divisors (2410526460).

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

1013985540 is a wasteful number, since it uses less digits than its factorization.

1013985540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1013985540 is about 31843.1396065149. The cubic root of 1013985540 is about 1004.6402811523.

1013985540 divided by its sum of digits (36) gives a triangular number (28166265 = T₇₅₀₅).

The spelling of 1013985540 in words is "one billion, thirteen million, nine hundred eighty-five thousand, five hundred forty".