814825011 has 96 divisors (see below), whose sum is σ = 1557287424. Its totient is φ = 367488000.

The previous prime is 814824991. The next prime is 814825043. The reversal of 814825011 is 110528418.

It is a happy number.

It is not a de Polignac number, because 814825011 - 2⁷ = 814824883 is a prime.

It is a super-3 number, since 3×814825011³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 814825011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814825061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 560836 + ... + 562286.

It is an arithmetic number, because the mean of its divisors is an integer number (16221744).

Almost surely, 2^814825011 is an apocalyptic number.

814825011 is a deficient number, since it is larger than the sum of its proper divisors (742462413).

814825011 is a wasteful number, since it uses less digits than its factorization.

814825011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 814825011 is about 28545.1398840503. The cubic root of 814825011 is about 934.0170061266.

The spelling of 814825011 in words is "eight hundred fourteen million, eight hundred twenty-five thousand, eleven".