5305505634 has 144 divisors (see below), whose sum is σ = 14200595136. Its totient is φ = 1419359040.

The previous prime is 5305505627. The next prime is 5305505671. The reversal of 5305505634 is 4365055035.

5305505634 is a `hidden beast` number, since 53 + 0 + 550 + 56 + 3 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 647149 + ... + 655295.

It is an arithmetic number, because the mean of its divisors is an integer number (98615244).

Almost surely, 2^5305505634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305505634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7100297568).

5305505634 is an abundant number, since it is smaller than the sum of its proper divisors (8895089502).

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

5305505634 is a wasteful number, since it uses less digits than its factorization.

5305505634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8213 (or 8199 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The square root of 5305505634 is about 72838.9019274728. The cubic root of 5305505634 is about 1744.1169122536.

The spelling of 5305505634 in words is "five billion, three hundred five million, five hundred five thousand, six hundred thirty-four".