513945540 has 192 divisors, whose sum is σ = 1700697600. Its totient is φ = 128604672.

The previous prime is 513945529. The next prime is 513945587. The reversal of 513945540 is 45549315.

513945540 is a `hidden beast` number, since 5 + 13 + 94 + 554 + 0 = 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 = 513945495 and 513945504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 578977 + ... + 579863.

It is an arithmetic number, because the mean of its divisors is an integer number (8857800).

Almost surely, 2^513945540 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 513945540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850348800).

513945540 is an abundant number, since it is smaller than the sum of its proper divisors (1186752060).

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

513945540 is a wasteful number, since it uses less digits than its factorization.

513945540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 513945540 is about 22670.3670018816. The cubic root of 513945540 is about 801.0120213096.

The spelling of 513945540 in words is "five hundred thirteen million, nine hundred forty-five thousand, five hundred forty".