1013558144 has 64 divisors (see below), whose sum is σ = 2097446400. Its totient is φ = 487349760.

The previous prime is 1013558137. The next prime is 1013558153. The reversal of 1013558144 is 4418553101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1013558144² = 2054600222537449472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1013558144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 709559 + ... + 710985.

It is an arithmetic number, because the mean of its divisors is an integer number (32772600).

Almost surely, 2^1013558144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013558144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048723200).

1013558144 is an abundant number, since it is smaller than the sum of its proper divisors (1083888256).

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

1013558144 is a wasteful number, since it uses less digits than its factorization.

1013558144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 1013558144 is about 31836.4279403328. The cubic root of 1013558144 is about 1004.4991089946.

The spelling of 1013558144 in words is "one billion, thirteen million, five hundred fifty-eight thousand, one hundred forty-four".