1013012664 has 128 divisors (see below), whose sum is σ = 2749593600. Its totient is φ = 310020480.

The previous prime is 1013012647. The next prime is 1013012669. The reversal of 1013012664 is 4662103101.

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 (1013012669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2168959 + ... + 2169425.

It is an arithmetic number, because the mean of its divisors is an integer number (21481200).

Almost surely, 2^1013012664 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 1013012664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374796800).

1013012664 is an abundant number, since it is smaller than the sum of its proper divisors (1736580936).

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

1013012664 is a wasteful number, since it uses less digits than its factorization.

1013012664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1013012664 is about 31827.8598715025. The cubic root of 1013012664 is about 1004.3188751314.

Adding to 1013012664 its reverse (4662103101), we get a palindrome (5675115765).

The spelling of 1013012664 in words is "one billion, thirteen million, twelve thousand, six hundred sixty-four".