1013419264 has 288 divisors, whose sum is σ = 2637250560. Its totient is φ = 381542400.

The previous prime is 1013419229. The next prime is 1013419327. The reversal of 1013419264 is 4629143101.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21562089 + ... + 21562135.

It is an arithmetic number, because the mean of its divisors is an integer number (9157120).

Almost surely, 2^1013419264 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 1013419264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318625280).

1013419264 is an abundant number, since it is smaller than the sum of its proper divisors (1623831296).

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

1013419264 is a wasteful number, since it uses less digits than its factorization.

1013419264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1013419264 is about 31834.2467163902. The cubic root of 1013419264 is about 1004.4532273287.

The spelling of 1013419264 in words is "one billion, thirteen million, four hundred nineteen thousand, two hundred sixty-four".