830144513 has 8 divisors (see below), whose sum is σ = 912224160. Its totient is φ = 749166880.

The previous prime is 830144489. The next prime is 830144519. The reversal of 830144513 is 315441038.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 830144513 - 2¹² = 830140417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (830144519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273923 + ... + 276936.

It is an arithmetic number, because the mean of its divisors is an integer number (114028020).

It is a Proth number, since it is equal to 12667 ⋅ 2¹⁶ + 1 and 12667 < 2¹⁶.

Almost surely, 2^830144513 is an apocalyptic number.

It is an amenable number.

830144513 is a deficient number, since it is larger than the sum of its proper divisors (82079647).

830144513 is a wasteful number, since it uses less digits than its factorization.

830144513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551007.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 830144513 is about 28812.2285323437. The cubic root of 830144513 is about 939.8341766493.

The spelling of 830144513 in words is "eight hundred thirty million, one hundred forty-four thousand, five hundred thirteen".