65513007 has 48 divisors (see below), whose sum is σ = 114816000. Its totient is φ = 35163072.

The previous prime is 65513003. The next prime is 65513023. The reversal of 65513007 is 70031556.

65513007 is a `hidden beast` number, since 655 + 1 + 3 + 0 + 0 + 7 = 666.

It is not a de Polignac number, because 65513007 - 2² = 65513003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65513003) by changing a digit.

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, 273994 + ... + 274232.

It is an arithmetic number, because the mean of its divisors is an integer number (2392000).

Almost surely, 2^65513007 is an apocalyptic number.

65513007 is a deficient number, since it is larger than the sum of its proper divisors (49302993).

65513007 is a wasteful number, since it uses less digits than its factorization.

65513007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 65513007 is about 8094.0105633734. The cubic root of 65513007 is about 403.1275797924.

The spelling of 65513007 in words is "sixty-five million, five hundred thirteen thousand, seven".