513097056 has 144 divisors (see below), whose sum is σ = 1512529200. Its totient is φ = 164865024.

The previous prime is 513097051. The next prime is 513097061. The reversal of 513097056 is 650790315.

It is a happy number.

513097056 is a `hidden beast` number, since 513 + 0 + 97 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (513097051) and next prime (513097061).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 513097056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513097051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1907290 + ... + 1907558.

It is an arithmetic number, because the mean of its divisors is an integer number (10503675).

Almost surely, 2^513097056 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 513097056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756264600).

513097056 is an abundant number, since it is smaller than the sum of its proper divisors (999432144).

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

513097056 is a wasteful number, since it uses less digits than its factorization.

513097056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 513097056 is about 22651.6457680231. The cubic root of 513097056 is about 800.5709757198.

The spelling of 513097056 in words is "five hundred thirteen million, ninety-seven thousand, fifty-six".