1506307300225 has 24 divisors (see below), whose sum is σ = 2298856683200. Its totient is φ = 953442861120.

The previous prime is 1506307300217. The next prime is 1506307300261. The reversal of 1506307300225 is 5220037036051.

It is not a de Polignac number, because 1506307300225 - 2³ = 1506307300217 is a prime.

It is a super-2 number, since 2×1506307300225² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331054275 + ... + 331058824.

Almost surely, 2^{1506307300225} is an apocalyptic number.

It is an amenable number.

1506307300225 is a deficient number, since it is larger than the sum of its proper divisors (792549382975).

1506307300225 is a wasteful number, since it uses less digits than its factorization.

1506307300225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662113129 (or 662113124 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The spelling of 1506307300225 in words is "one trillion, five hundred six billion, three hundred seven million, three hundred thousand, two hundred twenty-five".