510013240 has 128 divisors (see below), whose sum is σ = 1306368000. Its totient is φ = 177523200.

The previous prime is 510013237. The next prime is 510013241. The reversal of 510013240 is 42310015.

It is a super-2 number, since 2×510013240² = 520227009950595200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510013241) 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, 1895826 + ... + 1896094.

It is an arithmetic number, because the mean of its divisors is an integer number (10206000).

Almost surely, 2^510013240 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 510013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184000).

510013240 is an abundant number, since it is smaller than the sum of its proper divisors (796354760).

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

510013240 is a wasteful number, since it uses less digits than its factorization.

510013240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 510013240 is about 22583.4727178970. The cubic root of 510013240 is about 798.9638878355.

Adding to 510013240 its reverse (42310015), we get a palindrome (552323255).

The spelling of 510013240 in words is "five hundred ten million, thirteen thousand, two hundred forty".