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406674037001 is a prime number
BaseRepresentation
bin1011110101011111010…
…10010101100100001001
31102212200210221120121102
411322233222111210021
523130332023141001
6510453511551145
741244522164561
oct5725752254411
91385623846542
10406674037001
1114751898a161
126699638b4b5
132c470255b6b
141597c70bda1
15a8a27c5e6b
hex5eafa95909

406674037001 has 2 divisors, whose sum is σ = 406674037002. Its totient is φ = 406674037000.

The previous prime is 406674036883. The next prime is 406674037039. The reversal of 406674037001 is 100730476604.

It is an a-pointer prime, because the next prime (406674037039) can be obtained adding 406674037001 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 344921290000 + 61752747001 = 587300^2 + 248501^2 .

It is a cyclic number.

It is not a de Polignac number, because 406674037001 - 214 = 406674020617 is a prime.

It is a super-3 number, since 3×4066740370013 (a number of 36 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (406674036001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203337018500 + 203337018501.

It is an arithmetic number, because the mean of its divisors is an integer number (203337018501).

Almost surely, 2406674037001 is an apocalyptic number.

It is an amenable number.

406674037001 is a deficient number, since it is larger than the sum of its proper divisors (1).

406674037001 is an equidigital number, since it uses as much as digits as its factorization.

406674037001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 38.

The spelling of 406674037001 in words is "four hundred six billion, six hundred seventy-four million, thirty-seven thousand, one".