513452000000 has 252 divisors, whose sum is σ = 1337046323088. Its totient is φ = 196416000000.

The previous prime is 513451999877. The next prime is 513452000053. The reversal of 513452000000 is 254315.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 91997210 + ... + 92002790.

Almost surely, 2^513452000000 is an apocalyptic number.

513452000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513452000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668523161544).

513452000000 is an abundant number, since it is smaller than the sum of its proper divisors (823594323088).

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

513452000000 is an frugal number, since it uses more digits than its factorization.

513452000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 513452000000 its reverse (254315), we get a palindrome (513452254315).

The spelling of 513452000000 in words is "five hundred thirteen billion, four hundred fifty-two million", and thus it is an aban number.