513051840 has 448 divisors, whose sum is σ = 2194560000. Its totient is φ = 110149632.

The previous prime is 513051793. The next prime is 513051841. The reversal of 513051840 is 48150315.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (513051841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1027911 + ... + 1028409.

Almost surely, 2^513051840 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 513051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097280000).

513051840 is an abundant number, since it is smaller than the sum of its proper divisors (1681508160).

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

513051840 is a wasteful number, since it uses less digits than its factorization.

513051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 513051840 is about 22650.6476728592. The cubic root of 513051840 is about 800.5474586092.

The spelling of 513051840 in words is "five hundred thirteen million, fifty-one thousand, eight hundred forty".