5205351006 has 64 divisors (see below), whose sum is σ = 12261326400. Its totient is φ = 1631259648.

The previous prime is 5205350987. The next prime is 5205351043. The reversal of 5205351006 is 6001535025.

5205351006 is a `hidden beast` number, since 5 + 20 + 535 + 100 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1015506 + ... + 1020618.

It is an arithmetic number, because the mean of its divisors is an integer number (191583225).

Almost surely, 2^5205351006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205351006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130663200).

5205351006 is an abundant number, since it is smaller than the sum of its proper divisors (7055975394).

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

5205351006 is a wasteful number, since it uses less digits than its factorization.

5205351006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250 (or 6244 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5205351006 is about 72148.1185201666. The cubic root of 5205351006 is about 1733.0722698621.

The spelling of 5205351006 in words is "five billion, two hundred five million, three hundred fifty-one thousand, six".