1305737401 has 2 divisors, whose sum is σ = 1305737402. Its totient is φ = 1305737400.

The previous prime is 1305737353. The next prime is 1305737449. The reversal of 1305737401 is 1047375031.

It is a balanced prime because it is at equal distance from previous prime (1305737353) and next prime (1305737449).

It can be written as a sum of positive squares in only one way, i.e., 935136400 + 370601001 = 30580^2 + 19251^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305737401 - 2²¹ = 1303640249 is a prime.

It is not a weakly prime, because it can be changed into another prime (1305737101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652868700 + 652868701.

It is an arithmetic number, because the mean of its divisors is an integer number (652868701).

Almost surely, 2^1305737401 is an apocalyptic number.

It is an amenable number.

1305737401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305737401 is an equidigital number, since it uses as much as digits as its factorization.

1305737401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 1305737401 is about 36134.9885983101. The cubic root of 1305737401 is about 1092.9961059553.

The spelling of 1305737401 in words is "one billion, three hundred five million, seven hundred thirty-seven thousand, four hundred one".