513573120 has 216 divisors, whose sum is σ = 1797595800. Its totient is φ = 135364608.

The previous prime is 513573119. The next prime is 513573121. The reversal of 513573120 is 21375315.

It is an interprime number because it is at equal distance from previous prime (513573119) and next prime (513573121).

It can be written as a sum of positive squares in 4 ways, for example, as 196448256 + 317124864 = 14016^2 + 17808^2 .

It is not an unprimeable number, because it can be changed into a prime (513573121) 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, 1255476 + ... + 1255884.

Almost surely, 2^513573120 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 513573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898797900).

513573120 is an abundant number, since it is smaller than the sum of its proper divisors (1284022680).

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

513573120 is a wasteful number, since it uses less digits than its factorization.

513573120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 513573120 is about 22662.1517071967. The cubic root of 513573120 is about 800.8184956289.

The spelling of 513573120 in words is "five hundred thirteen million, five hundred seventy-three thousand, one hundred twenty".