1456117013 has 12 divisors (see below), whose sum is σ = 1583070048. Its totient is φ = 1338714000.

The previous prime is 1456116989. The next prime is 1456117021. The reversal of 1456117013 is 3107116541.

It is a happy number.

It is not a de Polignac number, because 1456117013 - 2¹⁶ = 1456051477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456117043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25256 + ... + 59582.

It is an arithmetic number, because the mean of its divisors is an integer number (131922504).

Almost surely, 2^1456117013 is an apocalyptic number.

1456117013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1456117013 is a deficient number, since it is larger than the sum of its proper divisors (126953035).

1456117013 is a wasteful number, since it uses less digits than its factorization.

1456117013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34604 (or 34591 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 1456117013 is about 38159.1013127930. The cubic root of 1456117013 is about 1133.4405833817.

The spelling of 1456117013 in words is "one billion, four hundred fifty-six million, one hundred seventeen thousand, thirteen".