1305023413 has 2 divisors, whose sum is σ = 1305023414. Its totient is φ = 1305023412.

The previous prime is 1305023371. The next prime is 1305023437. The reversal of 1305023413 is 3143205031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1231869604 + 73153809 = 35098^2 + 8553^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305023413 - 2¹³ = 1305015221 is a prime.

It is a super-2 number, since 2×1305023413² = 3406172216956337138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1305023443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652511706 + 652511707.

It is an arithmetic number, because the mean of its divisors is an integer number (652511707).

Almost surely, 2^1305023413 is an apocalyptic number.

It is an amenable number.

1305023413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305023413 is an equidigital number, since it uses as much as digits as its factorization.

1305023413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1305023413 is about 36125.1077922267. The cubic root of 1305023413 is about 1092.7968498653.

Adding to 1305023413 its reverse (3143205031), we get a palindrome (4448228444).

It can be divided in two parts, 13050 and 23413, that added together give a palindrome (36463).

The spelling of 1305023413 in words is "one billion, three hundred five million, twenty-three thousand, four hundred thirteen".