513980856 has 256 divisors, whose sum is σ = 1632960000. Its totient is φ = 148801536.

The previous prime is 513980843. The next prime is 513980867. The reversal of 513980856 is 658089315.

513980856 is a `hidden beast` number, since 513 + 9 + 80 + 8 + 56 = 666.

It is a congruent number.

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, 3697635 + ... + 3697773.

It is an arithmetic number, because the mean of its divisors is an integer number (6378750).

Almost surely, 2^513980856 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 513980856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816480000).

513980856 is an abundant number, since it is smaller than the sum of its proper divisors (1118979144).

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

513980856 is a wasteful number, since it uses less digits than its factorization.

513980856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 513980856 is about 22671.1458907573. The cubic root of 513980856 is about 801.0303681903.

The spelling of 513980856 in words is "five hundred thirteen million, nine hundred eighty thousand, eight hundred fifty-six".