1013127264 has 144 divisors (see below), whose sum is σ = 3016842192. Its totient is φ = 334430208.

The previous prime is 1013127251. The next prime is 1013127287. The reversal of 1013127264 is 4627213101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

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, 878112 + ... + 879264.

It is an arithmetic number, because the mean of its divisors is an integer number (20950293).

Almost surely, 2^1013127264 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 1013127264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508421096).

1013127264 is an abundant number, since it is smaller than the sum of its proper divisors (2003714928).

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

1013127264 is a wasteful number, since it uses less digits than its factorization.

1013127264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1013127264 is about 31829.6601301365. The cubic root of 1013127264 is about 1004.3567458666.

The spelling of 1013127264 in words is "one billion, thirteen million, one hundred twenty-seven thousand, two hundred sixty-four".