814013601 has 16 divisors (see below), whose sum is σ = 1154274624. Its totient is φ = 508496384.

The previous prime is 814013597. The next prime is 814013609. The reversal of 814013601 is 106310418.

It is not a de Polignac number, because 814013601 - 2² = 814013597 is a prime.

It is a super-2 number, since 2×814013601² = 1325236285225974402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (814013609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23580 + ... + 46733.

It is an arithmetic number, because the mean of its divisors is an integer number (72142164).

Almost surely, 2^814013601 is an apocalyptic number.

It is an amenable number.

814013601 is a deficient number, since it is larger than the sum of its proper divisors (340261023).

814013601 is a wasteful number, since it uses less digits than its factorization.

814013601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70560.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 814013601 is about 28530.9235917802. The cubic root of 814013601 is about 933.7068690080.

The spelling of 814013601 in words is "eight hundred fourteen million, thirteen thousand, six hundred one".