513552442000 has 80 divisors (see below), whose sum is σ = 1337290626672. Its totient is φ = 189619353600.

The previous prime is 513552441959. The next prime is 513552442003. The reversal of 513552442000 is 244255315.

It can be written as a sum of positive squares in 8 ways, for example, as 440874752256 + 72677689744 = 663984^2 + 269588^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×513552442000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513552442003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9850009 + ... + 9902008.

Almost surely, 2^513552442000 is an apocalyptic number.

513552442000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513552442000 is an abundant number, since it is smaller than the sum of its proper divisors (823738184672).

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

513552442000 is a wasteful number, since it uses less digits than its factorization.

513552442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19752053 (or 19752037 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 513552442000 its reverse (244255315), we get a palindrome (513796697315).

The spelling of 513552442000 in words is "five hundred thirteen billion, five hundred fifty-two million, four hundred forty-two thousand".