1013164160 has 64 divisors (see below), whose sum is σ = 2425961880. Its totient is φ = 404619264.

The previous prime is 1013164157. The next prime is 1013164253. The reversal of 1013164160 is 614613101.

It can be written as a sum of positive squares in 4 ways, for example, as 1012257856 + 906304 = 31816^2 + 952^2 .

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

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, 737234 + ... + 738606.

Almost surely, 2^1013164160 is an apocalyptic number.

1013164160 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 1013164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212980940).

1013164160 is an abundant number, since it is smaller than the sum of its proper divisors (1412797720).

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

1013164160 is a wasteful number, since it uses less digits than its factorization.

1013164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1013164160 is about 31830.2397100619. The cubic root of 1013164160 is about 1004.3689379173.

Adding to 1013164160 its reverse (614613101), we get a palindrome (1627777261).

The spelling of 1013164160 in words is "one billion, thirteen million, one hundred sixty-four thousand, one hundred sixty".