457522561 has 2 divisors, whose sum is σ = 457522562. Its totient is φ = 457522560.

The previous prime is 457522543. The next prime is 457522579. The reversal of 457522561 is 165225754.

It is a balanced prime because it is at equal distance from previous prime (457522543) and next prime (457522579).

It can be written as a sum of positive squares in only one way, i.e., 283282561 + 174240000 = 16831^2 + 13200^2 .

It is a cyclic number.

It is not a de Polignac number, because 457522561 - 2¹⁹ = 456998273 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 457522561.

It is not a weakly prime, because it can be changed into another prime (457522511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228761280 + 228761281.

It is an arithmetic number, because the mean of its divisors is an integer number (228761281).

Almost surely, 2^457522561 is an apocalyptic number.

It is an amenable number.

457522561 is a deficient number, since it is larger than the sum of its proper divisors (1).

457522561 is an equidigital number, since it uses as much as digits as its factorization.

457522561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 84000, while the sum is 37.

The square root of 457522561 is about 21389.7770208107. Note that the first 3 decimals coincide. The cubic root of 457522561 is about 770.5559379790. Note that the first 3 decimals are identical.

The spelling of 457522561 in words is "four hundred fifty-seven million, five hundred twenty-two thousand, five hundred sixty-one".