1300224135 has 64 divisors (see below), whose sum is σ = 2469242880. Its totient is φ = 571630080.

The previous prime is 1300224127. The next prime is 1300224137. The reversal of 1300224135 is 5314220031.

It is not a de Polignac number, because 1300224135 - 2³ = 1300224127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300224137) 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 in 63 ways as a sum of consecutive naturals, for example, 946309 + ... + 947681.

It is an arithmetic number, because the mean of its divisors is an integer number (38581920).

Almost surely, 2^1300224135 is an apocalyptic number.

1300224135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1300224135 is a deficient number, since it is larger than the sum of its proper divisors (1169018745).

1300224135 is a wasteful number, since it uses less digits than its factorization.

1300224135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1300224135 is about 36058.6208138914. The cubic root of 1300224135 is about 1091.4556023654.

Adding to 1300224135 its reverse (5314220031), we get a palindrome (6614444166).

The spelling of 1300224135 in words is "one billion, three hundred million, two hundred twenty-four thousand, one hundred thirty-five".