66101031580025 has 48 divisors (see below), whose sum is σ = 89725837730928. Its totient is φ = 48008315520000.

The previous prime is 66101031580013. The next prime is 66101031580063. The reversal of 66101031580025 is 52008513010166.

It can be written as a sum of positive squares in 24 ways, for example, as 66035386478656 + 65645101369 = 8126216^2 + 256213^2 .

It is not a de Polignac number, because 66101031580025 - 2¹⁰ = 66101031579001 is a prime.

It is a Duffinian number.

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, 217070375 + ... + 217374675.

It is an arithmetic number, because the mean of its divisors is an integer number (1869288286061).

Almost surely, 2^{66101031580025} is an apocalyptic number.

66101031580025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66101031580025 is a deficient number, since it is larger than the sum of its proper divisors (23624806150903).

66101031580025 is a wasteful number, since it uses less digits than its factorization.

66101031580025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315342 (or 315337 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 66101031580025 in words is "sixty-six trillion, one hundred one billion, thirty-one million, five hundred eighty thousand, twenty-five".