416565501456253 has 2 divisors, whose sum is σ = 416565501456254. Its totient is φ = 416565501456252.

The previous prime is 416565501456131. The next prime is 416565501456257. The reversal of 416565501456253 is 352654105565614.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 342596333572164 + 73969167884089 = 18509358^2 + 8600533^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-416565501456253 is a prime.

It is a super-4 number, since 4×416565501456253⁴ (a number of 60 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416565501456257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208282750728126 + 208282750728127.

It is an arithmetic number, because the mean of its divisors is an integer number (208282750728127).

Almost surely, 2^{416565501456253} is an apocalyptic number.

It is an amenable number.

416565501456253 is a deficient number, since it is larger than the sum of its proper divisors (1).

416565501456253 is an equidigital number, since it uses as much as digits as its factorization.

416565501456253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64800000, while the sum is 58.

The spelling of 416565501456253 in words is "four hundred sixteen trillion, five hundred sixty-five billion, five hundred one million, four hundred fifty-six thousand, two hundred fifty-three".