65507130 has 80 divisors (see below), whose sum is σ = 189721224. Its totient is φ = 16122240.

The previous prime is 65507119. The next prime is 65507153. The reversal of 65507130 is 3170556.

65507130 is a `hidden beast` number, since 655 + 0 + 7 + 1 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21986721 + 43520409 = 4689^2 + 6597^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 65507094 and 65507103.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 7420 + ... + 13640.

Almost surely, 2^65507130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65507130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94860612).

65507130 is an abundant number, since it is smaller than the sum of its proper divisors (124214094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65507130 is a wasteful number, since it uses less digits than its factorization.

65507130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253 (or 6244 counting only the distinct ones).

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

The square root of 65507130 is about 8093.6475090036. The cubic root of 65507130 is about 403.1155249260.

Adding to 65507130 its reverse (3170556), we get a palindrome (68677686).

The spelling of 65507130 in words is "sixty-five million, five hundred seven thousand, one hundred thirty".