420517753 has 2 divisors, whose sum is σ = 420517754. Its totient is φ = 420517752.

The previous prime is 420517751. The next prime is 420517781. The reversal of 420517753 is 357715024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 327356649 + 93161104 = 18093^2 + 9652^2 .

It is a cyclic number.

It is not a de Polignac number, because 420517753 - 2¹ = 420517751 is a prime.

Together with 420517751, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (420517751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210258876 + 210258877.

It is an arithmetic number, because the mean of its divisors is an integer number (210258877).

Almost surely, 2^420517753 is an apocalyptic number.

It is an amenable number.

420517753 is a deficient number, since it is larger than the sum of its proper divisors (1).

420517753 is an equidigital number, since it uses as much as digits as its factorization.

420517753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 420517753 is about 20506.5295211062. The cubic root of 420517753 is about 749.1948414170.

The spelling of 420517753 in words is "four hundred twenty million, five hundred seventeen thousand, seven hundred fifty-three".