1307229825 has 48 divisors (see below), whose sum is σ = 2363688000. Its totient is φ = 632217600.

The previous prime is 1307229787. The next prime is 1307229853. The reversal of 1307229825 is 5289227031.

It is not a de Polignac number, because 1307229825 - 2¹⁹ = 1306705537 is a prime.

It is an unprimeable number.

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 in 47 ways as a sum of consecutive naturals, for example, 368661 + ... + 372189.

It is an arithmetic number, because the mean of its divisors is an integer number (49243500).

Almost surely, 2^1307229825 is an apocalyptic number.

1307229825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1307229825 is a deficient number, since it is larger than the sum of its proper divisors (1056458175).

1307229825 is a wasteful number, since it uses less digits than its factorization.

1307229825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1307229825 is about 36155.6333784930. The cubic root of 1307229825 is about 1093.4123694744.

It can be divided in two parts, 1307 and 229825, that added together give a palindrome (231132).

The spelling of 1307229825 in words is "one billion, three hundred seven million, two hundred twenty-nine thousand, eight hundred twenty-five".