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401713536001 is a prime number
BaseRepresentation
bin1011101100001111111…
…11100001110000000001
31102101220002220000111011
411312013333201300001
523040202131123001
6504313351120521
741010556500541
oct5660777416001
91371802800434
10401713536001
11145402900358
1265a31073141
132bb5c646a7b
141562b9ad321
15a6b2072d51
hex5d87fe1c01

401713536001 has 2 divisors, whose sum is σ = 401713536002. Its totient is φ = 401713536000.

The previous prime is 401713535963. The next prime is 401713536019. The reversal of 401713536001 is 100635317104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311832896400 + 89880639601 = 558420^2 + 299801^2 .

It is a cyclic number.

It is not a de Polignac number, because 401713536001 - 235 = 367353797633 is a prime.

It is a super-2 number, since 2×4017135360012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401713536041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200856768000 + 200856768001.

It is an arithmetic number, because the mean of its divisors is an integer number (200856768001).

Almost surely, 2401713536001 is an apocalyptic number.

It is an amenable number.

401713536001 is a deficient number, since it is larger than the sum of its proper divisors (1).

401713536001 is an equidigital number, since it uses as much as digits as its factorization.

401713536001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 401713536001 in words is "four hundred one billion, seven hundred thirteen million, five hundred thirty-six thousand, one".