8461005510 has 48 divisors (see below), whose sum is σ = 20789774064. Its totient is φ = 2203782336.

The previous prime is 8461005503. The next prime is 8461005521. The reversal of 8461005510 is 155001648.

It is a super-2 number, since 2×8461005510² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20797 + ... + 131736.

It is an arithmetic number, because the mean of its divisors is an integer number (433120293).

Almost surely, 2^8461005510 is an apocalyptic number.

8461005510 is an abundant number, since it is smaller than the sum of its proper divisors (12328768554).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8461005510 is a wasteful number, since it uses less digits than its factorization.

8461005510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152629 (or 152586 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 8461005510 is about 91983.7241581357. The cubic root of 8461005510 is about 2037.7019417192.

The spelling of 8461005510 in words is "eight billion, four hundred sixty-one million, five thousand, five hundred ten".