1305123534 has 96 divisors (see below), whose sum is σ = 3336173568. Its totient is φ = 363528000.

The previous prime is 1305123497. The next prime is 1305123557. The reversal of 1305123534 is 4353215031.

1305123534 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 123 + 534 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1305123498 and 1305123507.

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 47 ways as a sum of consecutive naturals, for example, 696619 + ... + 698489.

It is an arithmetic number, because the mean of its divisors is an integer number (34751808).

Almost surely, 2^1305123534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305123534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668086784).

1305123534 is an abundant number, since it is smaller than the sum of its proper divisors (2031050034).

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

1305123534 is a wasteful number, since it uses less digits than its factorization.

1305123534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1305123534 is about 36126.4935192997. The cubic root of 1305123534 is about 1092.8247954981.

Adding to 1305123534 its reverse (4353215031), we get a palindrome (5658338565).

It can be divided in two parts, 13051 and 23534, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 1305123534 in words is "one billion, three hundred five million, one hundred twenty-three thousand, five hundred thirty-four".