513738540 has 288 divisors, whose sum is σ = 1863388800. Its totient is φ = 114476544.

The previous prime is 513738503. The next prime is 513738553. The reversal of 513738540 is 45837315.

513738540 is a `hidden beast` number, since 51 + 37 + 38 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 513738495 and 513738504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3272142 + ... + 3272298.

It is an arithmetic number, because the mean of its divisors is an integer number (6470100).

Almost surely, 2^513738540 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 513738540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931694400).

513738540 is an abundant number, since it is smaller than the sum of its proper divisors (1349650260).

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

513738540 is a wasteful number, since it uses less digits than its factorization.

513738540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 513738540 is about 22665.8011109248. The cubic root of 513738540 is about 800.9044666231.

The spelling of 513738540 in words is "five hundred thirteen million, seven hundred thirty-eight thousand, five hundred forty".