513452688 has 80 divisors (see below), whose sum is σ = 1537330176. Its totient is φ = 144627840.

The previous prime is 513452671. The next prime is 513452767. The reversal of 513452688 is 886254315.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13095 + ... + 34617.

Almost surely, 2^513452688 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 513452688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768665088).

513452688 is an abundant number, since it is smaller than the sum of its proper divisors (1023877488).

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

513452688 is a wasteful number, since it uses less digits than its factorization.

513452688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21612 (or 21606 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 513452688 is about 22659.4944339012. The cubic root of 513452688 is about 800.7558938889.

The spelling of 513452688 in words is "five hundred thirteen million, four hundred fifty-two thousand, six hundred eighty-eight".