1337624401 has 2 divisors, whose sum is σ = 1337624402. Its totient is φ = 1337624400.

The previous prime is 1337624389. The next prime is 1337624411. The reversal of 1337624401 is 1044267331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 937584400 + 400040001 = 30620^2 + 20001^2 .

It is a cyclic number.

It is not a de Polignac number, because 1337624401 - 2¹¹ = 1337622353 is a prime.

It is not a weakly prime, because it can be changed into another prime (1337624411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 668812200 + 668812201.

It is an arithmetic number, because the mean of its divisors is an integer number (668812201).

Almost surely, 2^1337624401 is an apocalyptic number.

It is an amenable number.

1337624401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1337624401 is an equidigital number, since it uses as much as digits as its factorization.

1337624401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 1337624401 is about 36573.5478317322. The cubic root of 1337624401 is about 1101.8218846783.

The spelling of 1337624401 in words is "one billion, three hundred thirty-seven million, six hundred twenty-four thousand, four hundred one".