1307904413 has 2 divisors, whose sum is σ = 1307904414. Its totient is φ = 1307904412.

The previous prime is 1307904347. The next prime is 1307904431. The reversal of 1307904413 is 3144097031.

Together with next prime (1307904431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1145010244 + 162894169 = 33838^2 + 12763^2 .

It is a cyclic number.

It is not a de Polignac number, because 1307904413 - 2¹² = 1307900317 is a prime.

It is a super-2 number, since 2×1307904413² = 3421227907089749138, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1307904413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1307904443) 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, 653952206 + 653952207.

It is an arithmetic number, because the mean of its divisors is an integer number (653952207).

Almost surely, 2^1307904413 is an apocalyptic number.

It is an amenable number.

1307904413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1307904413 is an equidigital number, since it uses as much as digits as its factorization.

1307904413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 1307904413 is about 36164.9611226115. The cubic root of 1307904413 is about 1093.6004200648.

The spelling of 1307904413 in words is "one billion, three hundred seven million, nine hundred four thousand, four hundred thirteen".