513533221040 has 40 divisors (see below), whose sum is σ = 1364531131680. Its totient is φ = 176068532736.

The previous prime is 513533220931. The next prime is 513533221043. The reversal of 513533221040 is 40122335315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×513533221040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513533220994 and 513533221012.

It is not an unprimeable number, because it can be changed into a prime (513533221043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458511245 + ... + 458512364.

It is an arithmetic number, because the mean of its divisors is an integer number (34113278292).

Almost surely, 2^513533221040 is an apocalyptic number.

It is an amenable number.

513533221040 is an abundant number, since it is smaller than the sum of its proper divisors (850997910640).

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

513533221040 is a wasteful number, since it uses less digits than its factorization.

513533221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917023629 (or 917023623 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 513533221040 its reverse (40122335315), we get a palindrome (553655556355).

The spelling of 513533221040 in words is "five hundred thirteen billion, five hundred thirty-three million, two hundred twenty-one thousand, forty".