8010509949 has 48 divisors (see below), whose sum is σ = 13067461680. Its totient is φ = 4694215680.

The previous prime is 8010509933. The next prime is 8010509971. The reversal of 8010509949 is 9499050108.

It can be written as a sum of positive squares in 8 ways, for example, as 1101908025 + 6908601924 = 33195^2 + 83118^2 .

It is not a de Polignac number, because 8010509949 - 2⁴ = 8010509933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8010509909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231519 + ... + 263859.

It is an arithmetic number, because the mean of its divisors is an integer number (272238785).

Almost surely, 2^8010509949 is an apocalyptic number.

It is an amenable number.

8010509949 is a deficient number, since it is larger than the sum of its proper divisors (5056951731).

8010509949 is a wasteful number, since it uses less digits than its factorization.

8010509949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32462 (or 32459 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 8010509949 is about 89501.4522172685. The cubic root of 8010509949 is about 2000.8754458247.

The spelling of 8010509949 in words is "eight billion, ten million, five hundred nine thousand, nine hundred forty-nine".