5140512 has 72 divisors (see below), whose sum is σ = 15754284. Its totient is φ = 1580544.

The previous prime is 5140501. The next prime is 5140517. The reversal of 5140512 is 2150415.

It can be written as a sum of positive squares in 2 ways, for example, as 5035536 + 104976 = 2244^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5140517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3058 + ... + 4430.

Almost surely, 2^5140512 is an apocalyptic number.

5140512 is a gapful number since it is divisible by the number (52) 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 5140512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7877142).

5140512 is an abundant number, since it is smaller than the sum of its proper divisors (10613772).

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

5140512 is a wasteful number, since it uses less digits than its factorization.

5140512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5140512 is about 2267.2697236985. The cubic root of 5140512 is about 172.5846339575.

Adding to 5140512 its reverse (2150415), we get a palindrome (7290927).

The spelling of 5140512 in words is "five million, one hundred forty thousand, five hundred twelve".