813507481 has 2 divisors, whose sum is σ = 813507482. Its totient is φ = 813507480.

The previous prime is 813507469. The next prime is 813507533. The reversal of 813507481 is 184705318.

813507481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 631014400 + 182493081 = 25120^2 + 13509^2 .

It is a cyclic number.

It is not a de Polignac number, because 813507481 - 2⁷ = 813507353 is a prime.

It is a super-2 number, since 2×813507481² = 1323588843285930722, which contains 22 as substring.

It is equal to p_41804929 and since 813507481 and 41804929 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 813507481.

It is not a weakly prime, because it can be changed into another prime (813507181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406753740 + 406753741.

It is an arithmetic number, because the mean of its divisors is an integer number (406753741).

Almost surely, 2^813507481 is an apocalyptic number.

It is an amenable number.

813507481 is a deficient number, since it is larger than the sum of its proper divisors (1).

813507481 is an equidigital number, since it uses as much as digits as its factorization.

813507481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 813507481 is about 28522.0525383430. The cubic root of 813507481 is about 933.5133154463.

It can be divided in two parts, 81350 and 7481, that added together give a triangular number (88831 = T₄₂₁).

The spelling of 813507481 in words is "eight hundred thirteen million, five hundred seven thousand, four hundred eighty-one".