801257561 has 6 divisors (see below), whose sum is σ = 867634110. Its totient is φ = 739622208.

The previous prime is 801257473. The next prime is 801257573. The reversal of 801257561 is 165752108.

801257561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8497225 + 792760336 = 2915^2 + 28156^2 .

It is not a de Polignac number, because 801257561 - 2¹⁰ = 801256537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (801257461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2370416 + ... + 2370753.

It is an arithmetic number, because the mean of its divisors is an integer number (144605685).

Almost surely, 2^801257561 is an apocalyptic number.

It is an amenable number.

801257561 is a deficient number, since it is larger than the sum of its proper divisors (66376549).

801257561 is a wasteful number, since it uses less digits than its factorization.

801257561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4741195 (or 4741182 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 801257561 is about 28306.4932656802. The cubic root of 801257561 is about 928.8039354915.

The spelling of 801257561 in words is "eight hundred one million, two hundred fifty-seven thousand, five hundred sixty-one".