25460605001601 has 96 divisors (see below), whose sum is σ = 48918858633216. Its totient is φ = 12353245632000.

The previous prime is 25460605001581. The next prime is 25460605001609. The reversal of 25460605001601 is 10610050606452.

25460605001601 is a `hidden beast` number, since 2 + 5 + 46 + 0 + 6 + 0 + 5 + 0 + 0 + 1 + 601 = 666.

It is not a de Polignac number, because 25460605001601 - 2⁵ = 25460605001569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25460605001609) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6705385 + ... + 9792006.

It is an arithmetic number, because the mean of its divisors is an integer number (509571444096).

Almost surely, 2^{25460605001601} is an apocalyptic number.

25460605001601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

25460605001601 is a deficient number, since it is larger than the sum of its proper divisors (23458253631615).

25460605001601 is a wasteful number, since it uses less digits than its factorization.

25460605001601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16497563 (or 16497560 counting only the distinct ones).

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

The spelling of 25460605001601 in words is "twenty-five trillion, four hundred sixty billion, six hundred five million, one thousand, six hundred one".