8010429001 has 3 divisors (see below), whose sum is σ = 8010518503. Its totient is φ = 8010339500.

The previous prime is 8010428977. The next prime is 8010429017. The reversal of 8010429001 is 1009240108.

It is a happy number.

The square root of 8010429001 is 89501.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 7974668601 + 35760400 = 89301^2 + 5980^2 .

It is not a de Polignac number, because 8010429001 - 2⁵ = 8010428969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8010429701) 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 2 ways as a sum of consecutive naturals, for example, 44751 + ... + 134251.

Almost surely, 2^8010429001 is an apocalyptic number.

8010429001 is the 89501-st square number.

8010429001 is the 44751-st centered octagonal number.

It is an amenable number.

8010429001 is a deficient number, since it is larger than the sum of its proper divisors (89502).

8010429001 is an frugal number, since it uses more digits than its factorization.

8010429001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179002 (or 89501 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The cubic root of 8010429001 is about 2000.8687060369.

Multiplying 8010429001 by its sum of digits (25), we get a square (200260725025 = 447505²).

Multiplying 8010429001 by its product of nonzero digits (576), we get a square (4614007104576 = 2148024²).

Adding to 8010429001 its reverse (1009240108), we get a palindrome (9019669109).

The spelling of 8010429001 in words is "eight billion, ten million, four hundred twenty-nine thousand, one".