5405135010 has 256 divisors, whose sum is σ = 15979991040. Its totient is φ = 1154165760.

The previous prime is 5405134981. The next prime is 5405135027. The reversal of 5405135010 is 105315045.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5335264 + ... + 5336276.

It is an arithmetic number, because the mean of its divisors is an integer number (62421840).

Almost surely, 2^5405135010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5405135010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7989995520).

5405135010 is an abundant number, since it is smaller than the sum of its proper divisors (10574856030).

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

5405135010 is a wasteful number, since it uses less digits than its factorization.

5405135010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113.

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 5405135010 is about 73519.6232988173. The cubic root of 5405135010 is about 1754.9665726866.

The spelling of 5405135010 in words is "five billion, four hundred five million, one hundred thirty-five thousand, ten".