457695805561 has 8 divisors (see below), whose sum is σ = 458345823944. Its totient is φ = 457045908480.

The previous prime is 457695805549. The next prime is 457695805573. The reversal of 457695805561 is 165508596754.

457695805561 = 478380² + 478381².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (457695805549) and next prime (457695805573).

It can be written as a sum of positive squares in 4 ways, for example, as 6441025536 + 451254780025 = 80256^2 + 671755^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 7-Lehmer number, since φ(457695805561) divides (457695805561-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 457695805561 - 2⁵ = 457695805529 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 457695805561.

It is not an unprimeable number, because it can be changed into a prime (457695805531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9706201 + ... + 9753241.

It is an arithmetic number, because the mean of its divisors is an integer number (57293227993).

Almost surely, 2^457695805561 is an apocalyptic number.

457695805561 is the 478381-st centered square number.

It is an amenable number.

457695805561 is a deficient number, since it is larger than the sum of its proper divisors (650018383).

457695805561 is a wasteful number, since it uses less digits than its factorization.

457695805561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60651.

The product of its (nonzero) digits is 45360000, while the sum is 61.

The spelling of 457695805561 in words is "four hundred fifty-seven billion, six hundred ninety-five million, eight hundred five thousand, five hundred sixty-one".