724575645642513 has 64 divisors (see below), whose sum is σ = 1154875493376000. Its totient is φ = 403703554101120.

The previous prime is 724575645642469. The next prime is 724575645642539. The reversal of 724575645642513 is 315246546575427.

It is not a de Polignac number, because 724575645642513 - 2⁸ = 724575645642257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (724575645642593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10786648 + ... + 39566438.

It is an arithmetic number, because the mean of its divisors is an integer number (18044929584000).

Almost surely, 2^{724575645642513} is an apocalyptic number.

It is an amenable number.

724575645642513 is a deficient number, since it is larger than the sum of its proper divisors (430299847733487).

724575645642513 is a wasteful number, since it uses less digits than its factorization.

724575645642513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28780427 (or 28780413 counting only the distinct ones).

The product of its digits is 846720000, while the sum is 66.

The spelling of 724575645642513 in words is "seven hundred twenty-four trillion, five hundred seventy-five billion, six hundred forty-five million, six hundred forty-two thousand, five hundred thirteen".