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401337827257 is a prime number
BaseRepresentation
bin1011101011100011001…
…10010011111110111001
31102100220220221000222111
411311301212103332321
523033414440433012
6504212210252321
740665345150013
oct5656146237671
91370826830874
10401337827257
1114522a816864
12659472870a1
132bacc85bbc3
14155d3b2d1b3
15a68e0abba7
hex5d71993fb9

401337827257 has 2 divisors, whose sum is σ = 401337827258. Its totient is φ = 401337827256.

The previous prime is 401337827251. The next prime is 401337827287. The reversal of 401337827257 is 752728733104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 389495817216 + 11842010041 = 624096^2 + 108821^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-401337827257 is a prime.

It is a super-2 number, since 2×4013378272572 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401337827257.

It is not a weakly prime, because it can be changed into another prime (401337827251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200668913628 + 200668913629.

It is an arithmetic number, because the mean of its divisors is an integer number (200668913629).

Almost surely, 2401337827257 is an apocalyptic number.

It is an amenable number.

401337827257 is a deficient number, since it is larger than the sum of its proper divisors (1).

401337827257 is an equidigital number, since it uses as much as digits as its factorization.

401337827257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1975680, while the sum is 49.

The spelling of 401337827257 in words is "four hundred one billion, three hundred thirty-seven million, eight hundred twenty-seven thousand, two hundred fifty-seven".