416605253005331 has 32 divisors (see below), whose sum is σ = 472558749788160. Its totient is φ = 364381707279744.

The previous prime is 416605253005307. The next prime is 416605253005339. The reversal of 416605253005331 is 133500352506614.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-416605253005331 is a prime.

It is a super-2 number, since 2×416605253005331² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416605253005339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621256886 + ... + 621927108.

It is an arithmetic number, because the mean of its divisors is an integer number (14767460930880).

Almost surely, 2^{416605253005331} is an apocalyptic number.

416605253005331 is a deficient number, since it is larger than the sum of its proper divisors (55953496782829).

416605253005331 is a wasteful number, since it uses less digits than its factorization.

416605253005331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689795.

The product of its (nonzero) digits is 972000, while the sum is 44.

The spelling of 416605253005331 in words is "four hundred sixteen trillion, six hundred five billion, two hundred fifty-three million, five thousand, three hundred thirty-one".