501753828807 has 64 divisors (see below), whose sum is σ = 975537254400. Its totient is φ = 246932828640.

The previous prime is 501753828787. The next prime is 501753828871. The reversal of 501753828807 is 708828357105.

501753828807 is a `hidden beast` number, since 5 + 0 + 1 + 7 + 538 + 28 + 80 + 7 = 666.

It is not a de Polignac number, because 501753828807 - 2⁸ = 501753828551 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501753823807) 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, 6311653 + ... + 6390654.

It is an arithmetic number, because the mean of its divisors is an integer number (15242769600).

Almost surely, 2^501753828807 is an apocalyptic number.

501753828807 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

501753828807 is a deficient number, since it is larger than the sum of its proper divisors (473783425593).

501753828807 is a wasteful number, since it uses less digits than its factorization.

501753828807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12702353 (or 12702347 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 501753828807 in words is "five hundred one billion, seven hundred fifty-three million, eight hundred twenty-eight thousand, eight hundred seven".