513501932241 has 64 divisors (see below), whose sum is σ = 802823024640. Its totient is φ = 323743495680.

The previous prime is 513501932213. The next prime is 513501932263. The reversal of 513501932241 is 142239105315.

It is a happy number.

513501932241 is a `hidden beast` number, since 5 + 1 + 3 + 501 + 93 + 22 + 41 = 666.

It is not a de Polignac number, because 513501932241 - 2⁷ = 513501932113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513501932196 and 513501932205.

It is not an unprimeable number, because it can be changed into a prime (513501932441) 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, 67642356 + ... + 67649946.

It is an arithmetic number, because the mean of its divisors is an integer number (12544109760).

Almost surely, 2^513501932241 is an apocalyptic number.

It is an amenable number.

513501932241 is a deficient number, since it is larger than the sum of its proper divisors (289321092399).

513501932241 is a wasteful number, since it uses less digits than its factorization.

513501932241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8843 (or 8837 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 513501932241 in words is "five hundred thirteen billion, five hundred one million, nine hundred thirty-two thousand, two hundred forty-one".