506613540 has 96 divisors (see below), whose sum is σ = 1457656704. Its totient is φ = 131420160.

The previous prime is 506613529. The next prime is 506613553. The reversal of 506613540 is 45316605.

It is a super-2 number, since 2×506613540² = 513314557822663200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 506613498 and 506613507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354307 + ... + 355733.

It is an arithmetic number, because the mean of its divisors is an integer number (15183924).

Almost surely, 2^506613540 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 506613540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728828352).

506613540 is an abundant number, since it is smaller than the sum of its proper divisors (951043164).

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

506613540 is a wasteful number, since it uses less digits than its factorization.

506613540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 506613540 is about 22508.0772168571. The cubic root of 506613540 is about 797.1846560034.

The spelling of 506613540 in words is "five hundred six million, six hundred thirteen thousand, five hundred forty".