10073952801 has 64 divisors (see below), whose sum is σ = 16575037440. Its totient is φ = 5996229120.

The previous prime is 10073952799. The next prime is 10073952821. The reversal of 10073952801 is 10825937001.

It is not a de Polignac number, because 10073952801 - 2¹ = 10073952799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10073952821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3883761 + ... + 3886353.

It is an arithmetic number, because the mean of its divisors is an integer number (258984960).

Almost surely, 2^10073952801 is an apocalyptic number.

10073952801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10073952801 is a deficient number, since it is larger than the sum of its proper divisors (6501084639).

10073952801 is a wasteful number, since it uses less digits than its factorization.

10073952801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10073952801 in words is "ten billion, seventy-three million, nine hundred fifty-two thousand, eight hundred one".