65041601625 has 576 divisors, whose sum is σ = 165304129536. Its totient is φ = 24167808000.

The previous prime is 65041601567. The next prime is 65041601633. The reversal of 65041601625 is 52610614056.

65041601625 is a `hidden beast` number, since 6 + 5 + 0 + 41 + 601 + 6 + 2 + 5 = 666.

65041601625 is digitally balanced in base 11, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 65041601625 - 2¹⁰ = 65041600601 is a prime.

65041601625 is strictly pandigital in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 65041601625.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 291666264 + ... + 291666486.

It is an arithmetic number, because the mean of its divisors is an integer number (286986336).

Almost surely, 2^65041601625 is an apocalyptic number.

65041601625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

65041601625 is an abundant number, since it is smaller than the sum of its proper divisors (100262527911).

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

65041601625 is a wasteful number, since it uses less digits than its factorization.

65041601625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

It can be divided in two parts, 65041 and 601625, that added together give a palindrome (666666).

The spelling of 65041601625 in words is "sixty-five billion, forty-one million, six hundred one thousand, six hundred twenty-five".