1456130013 has 16 divisors (see below), whose sum is σ = 2100241920. Its totient is φ = 892056384.

The previous prime is 1456129981. The next prime is 1456130063. The reversal of 1456130013 is 3100316541.

It is not a de Polignac number, because 1456130013 - 2⁵ = 1456129981 is a prime.

It is a super-2 number, since 2×1456130013² = 4240629229518760338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456130063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75018 + ... + 92411.

It is an arithmetic number, because the mean of its divisors is an integer number (131265120).

Almost surely, 2^1456130013 is an apocalyptic number.

1456130013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1456130013 is a deficient number, since it is larger than the sum of its proper divisors (644111907).

1456130013 is a wasteful number, since it uses less digits than its factorization.

1456130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167668.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1456130013 is about 38159.2716518542. The cubic root of 1456130013 is about 1133.4439564356.

Adding to 1456130013 its reverse (3100316541), we get a palindrome (4556446554).

The spelling of 1456130013 in words is "one billion, four hundred fifty-six million, one hundred thirty thousand, thirteen".