65726006125 has 16 divisors (see below), whose sum is σ = 88335754416. Its totient is φ = 48536126400.

The previous prime is 65726006107. The next prime is 65726006131. The reversal of 65726006125 is 52160062756.

It can be written as a sum of positive squares in 8 ways, for example, as 41638034916 + 24087971209 = 204054^2 + 155203^2 .

It is not a de Polignac number, because 65726006125 - 2²⁹ = 65189135213 is a prime.

It is a super-2 number, since 2×65726006125² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20221762 + ... + 20225011.

It is an arithmetic number, because the mean of its divisors is an integer number (5520984651).

Almost surely, 2^65726006125 is an apocalyptic number.

65726006125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

65726006125 is a deficient number, since it is larger than the sum of its proper divisors (22609748291).

65726006125 is a wasteful number, since it uses less digits than its factorization.

65726006125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40446801 (or 40446791 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 65726006125 in words is "sixty-five billion, seven hundred twenty-six million, six thousand, one hundred twenty-five".