513355140 has 36 divisors (see below), whose sum is σ = 1557177804. Its totient is φ = 136894656.

The previous prime is 513355111. The next prime is 513355163. The reversal of 513355140 is 41553315.

513355140 is a `hidden beast` number, since 513 + 3 + 5 + 5 + 140 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 164711556 + 348643584 = 12834^2 + 18672^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1425807 + ... + 1426166.

It is an arithmetic number, because the mean of its divisors is an integer number (43254939).

Almost surely, 2^513355140 is an apocalyptic number.

It is an amenable number.

513355140 is an abundant number, since it is smaller than the sum of its proper divisors (1043822664).

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

513355140 is a wasteful number, since it uses less digits than its factorization.

513355140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851988 (or 2851983 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 513355140 is about 22657.3418564491. The cubic root of 513355140 is about 800.7051803016.

The spelling of 513355140 in words is "five hundred thirteen million, three hundred fifty-five thousand, one hundred forty".