513377280 has 264 divisors, whose sum is σ = 1917907992. Its totient is φ = 126222336.

The previous prime is 513377269. The next prime is 513377299. The reversal of 513377280 is 82773315.

513377280 is a `hidden beast` number, since 5 + 1 + 3 + 377 + 280 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71368704 + 442008576 = 8448^2 + 21024^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598612 + ... + 599468.

It is an arithmetic number, because the mean of its divisors is an integer number (7264803).

Almost surely, 2^513377280 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 513377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958953996).

513377280 is an abundant number, since it is smaller than the sum of its proper divisors (1404530712).

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

513377280 is a wasteful number, since it uses less digits than its factorization.

513377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 513377280 is about 22657.8304345319. The cubic root of 513377280 is about 800.7166910840.

The spelling of 513377280 in words is "five hundred thirteen million, three hundred seventy-seven thousand, two hundred eighty".