681588205025 has 48 divisors (see below), whose sum is σ = 1101397256064. Its totient is φ = 406045025280.

The previous prime is 681588205003. The next prime is 681588205057. The reversal of 681588205025 is 520502885186.

It is not a de Polignac number, because 681588205025 - 2¹⁴ = 681588188641 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8773067 + ... + 8850416.

It is an arithmetic number, because the mean of its divisors is an integer number (22945776168).

Almost surely, 2^681588205025 is an apocalyptic number.

681588205025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

681588205025 is a deficient number, since it is larger than the sum of its proper divisors (419809051039).

681588205025 is a wasteful number, since it uses less digits than its factorization.

681588205025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17623530 (or 17623525 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 50.

The spelling of 681588205025 in words is "six hundred eighty-one billion, five hundred eighty-eight million, two hundred five thousand, twenty-five".