8213002541 has 8 divisors (see below), whose sum is σ = 8572262400. Its totient is φ = 7853923792.

The previous prime is 8213002489. The next prime is 8213002559. The reversal of 8213002541 is 1452003128.

8213002541 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8213002541 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8213002541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8215002541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51860 + ... + 138258.

It is an arithmetic number, because the mean of its divisors is an integer number (1071532800).

Almost surely, 2^8213002541 is an apocalyptic number.

It is an amenable number.

8213002541 is a deficient number, since it is larger than the sum of its proper divisors (359259859).

8213002541 is a wasteful number, since it uses less digits than its factorization.

8213002541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90555.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 8213002541 is about 90625.6174654827. The cubic root of 8213002541 is about 2017.5949664037.

Adding to 8213002541 its reverse (1452003128), we get a palindrome (9665005669).

The spelling of 8213002541 in words is "eight billion, two hundred thirteen million, two thousand, five hundred forty-one".