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407552801641 is a prime number
BaseRepresentation
bin1011110111001000000…
…10100011101101101001
31102221222001111110001221
411323210002203231221
523134132004123031
6511121022542041
741305352440606
oct5734402435551
91387861443057
10407552801641
11147929a28027
1266ba0737921
132c580325a3b
1415a232db6ad
15a904a0aa11
hex5ee40a3b69

407552801641 has 2 divisors, whose sum is σ = 407552801642. Its totient is φ = 407552801640.

The previous prime is 407552801627. The next prime is 407552801743. The reversal of 407552801641 is 146108255704.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 385015286016 + 22537515625 = 620496^2 + 150125^2 .

It is a cyclic number.

It is not a de Polignac number, because 407552801641 - 213 = 407552793449 is a prime.

It is a super-2 number, since 2×4075528016412 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (407552801041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203776400820 + 203776400821.

It is an arithmetic number, because the mean of its divisors is an integer number (203776400821).

Almost surely, 2407552801641 is an apocalyptic number.

It is an amenable number.

407552801641 is a deficient number, since it is larger than the sum of its proper divisors (1).

407552801641 is an equidigital number, since it uses as much as digits as its factorization.

407552801641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 407552801641 in words is "four hundred seven billion, five hundred fifty-two million, eight hundred one thousand, six hundred forty-one".