906308513 has 16 divisors (see below), whose sum is σ = 1006177920. Its totient is φ = 816227280.

The previous prime is 906308497. The next prime is 906308519. The reversal of 906308513 is 315803609.

It is not a de Polignac number, because 906308513 - 2⁴ = 906308497 is a prime.

It is a super-3 number, since 3×906308513³ (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (906308519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141956 + ... + 148202.

It is an arithmetic number, because the mean of its divisors is an integer number (62886120).

Almost surely, 2^906308513 is an apocalyptic number.

It is an amenable number.

906308513 is a deficient number, since it is larger than the sum of its proper divisors (99869407).

906308513 is a wasteful number, since it uses less digits than its factorization.

906308513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6389 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 906308513 is about 30104.9582793267. The cubic root of 906308513 is about 967.7399869827.

The spelling of 906308513 in words is "nine hundred six million, three hundred eight thousand, five hundred thirteen".