1000401361 has 2 divisors, whose sum is σ = 1000401362. Its totient is φ = 1000401360.

The previous prime is 1000401359. The next prime is 1000401373. The reversal of 1000401361 is 1631040001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 602997136 + 397404225 = 24556^2 + 19935^2 .

It is an emirp because it is prime and its reverse (1631040001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000401361 - 2¹ = 1000401359 is a prime.

Together with 1000401359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1000461361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500200680 + 500200681.

It is an arithmetic number, because the mean of its divisors is an integer number (500200681).

Almost surely, 2^1000401361 is an apocalyptic number.

It is an amenable number.

1000401361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000401361 is an equidigital number, since it uses as much as digits as its factorization.

1000401361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1000401361 is about 31629.1220396646. The cubic root of 1000401361 is about 1000.1337691050.

Adding to 1000401361 its reverse (1631040001), we get a palindrome (2631441362).

The spelling of 1000401361 in words is "one billion, four hundred one thousand, three hundred sixty-one".