65013144 has 64 divisors (see below), whose sum is σ = 190790400. Its totient is φ = 18071424.

The previous prime is 65013133. The next prime is 65013149. The reversal of 65013144 is 44131056.

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 (65013149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 987 + ... + 11445.

It is an arithmetic number, because the mean of its divisors is an integer number (2981100).

Almost surely, 2^65013144 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 65013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95395200).

65013144 is an abundant number, since it is smaller than the sum of its proper divisors (125777256).

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

65013144 is a wasteful number, since it uses less digits than its factorization.

65013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10512 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 65013144 is about 8063.0728633692. The cubic root of 65013144 is about 402.0996757858.

The spelling of 65013144 in words is "sixty-five million, thirteen thousand, one hundred forty-four".