827513461 has 2 divisors, whose sum is σ = 827513462. Its totient is φ = 827513460.

The previous prime is 827513417. The next prime is 827513483. The reversal of 827513461 is 164315728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 796086225 + 31427236 = 28215^2 + 5606^2 .

It is a cyclic number.

It is not a de Polignac number, because 827513461 - 2⁷ = 827513333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 827513461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827513261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413756730 + 413756731.

It is an arithmetic number, because the mean of its divisors is an integer number (413756731).

Almost surely, 2^827513461 is an apocalyptic number.

It is an amenable number.

827513461 is a deficient number, since it is larger than the sum of its proper divisors (1).

827513461 is an equidigital number, since it uses as much as digits as its factorization.

827513461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 40320, while the sum is 37.

The square root of 827513461 is about 28766.5336980318. The cubic root of 827513461 is about 938.8402253819.

It can be divided in two parts, 8275 and 13461, that added together give a triangular number (21736 = T₂₀₈).

The spelling of 827513461 in words is "eight hundred twenty-seven million, five hundred thirteen thousand, four hundred sixty-one".