513161406 has 80 divisors (see below), whose sum is σ = 1178907840. Its totient is φ = 166795200.

The previous prime is 513161393. The next prime is 513161413. The reversal of 513161406 is 604161315.

513161406 is a `hidden beast` number, since 513 + 1 + 6 + 140 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 513161406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1292400 + ... + 1292796.

It is an arithmetic number, because the mean of its divisors is an integer number (14736348).

Almost surely, 2^513161406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513161406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589453920).

513161406 is an abundant number, since it is smaller than the sum of its proper divisors (665746434).

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

513161406 is a wasteful number, since it uses less digits than its factorization.

513161406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 513161406 is about 22653.0661500822. The cubic root of 513161406 is about 800.6044421554.

Subtracting 513161406 from its reverse (604161315), we obtain a palindrome (90999909).

The spelling of 513161406 in words is "five hundred thirteen million, one hundred sixty-one thousand, four hundred six".