752002010021 has 12 divisors (see below), whose sum is σ = 794049671232. Its totient is φ = 712076918184.

The previous prime is 752002010009. The next prime is 752002010057. The reversal of 752002010021 is 120010200257.

It is not a de Polignac number, because 752002010021 - 2¹⁰ = 752002008997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 752002009975 and 752002010002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752002010821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239870 + ... + 1249616.

It is an arithmetic number, because the mean of its divisors is an integer number (66170805936).

Almost surely, 2^752002010021 is an apocalyptic number.

It is an amenable number.

752002010021 is a deficient number, since it is larger than the sum of its proper divisors (42047661211).

752002010021 is a wasteful number, since it uses less digits than its factorization.

752002010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011848 (or 1011829 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

Adding to 752002010021 its reverse (120010200257), we get a palindrome (872012210278).

The spelling of 752002010021 in words is "seven hundred fifty-two billion, two million, ten thousand, twenty-one".