65413735101 has 72 divisors (see below), whose sum is σ = 113957684568. Its totient is φ = 35904211200.

The previous prime is 65413735081. The next prime is 65413735109. The reversal of 65413735101 is 10153731456.

65413735101 is a `hidden beast` number, since 6 + 5 + 4 + 137 + 3 + 510 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16965323001 + 48448412100 = 130251^2 + 220110^2 .

It is not a de Polignac number, because 65413735101 - 2⁵ = 65413735069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65413735109) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 706731 + ... + 793911.

It is an arithmetic number, because the mean of its divisors is an integer number (1582745619).

Almost surely, 2^65413735101 is an apocalyptic number.

It is an amenable number.

65413735101 is a deficient number, since it is larger than the sum of its proper divisors (48543949467).

65413735101 is a wasteful number, since it uses less digits than its factorization.

65413735101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87275 (or 87261 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 65413735101 in words is "sixty-five billion, four hundred thirteen million, seven hundred thirty-five thousand, one hundred one".