1251288510066 has 96 divisors (see below), whose sum is σ = 3199227752448. Its totient is φ = 345886472160.

The previous prime is 1251288510061. The next prime is 1251288510077. The reversal of 1251288510066 is 6600158821521.

1251288510066 is a `hidden beast` number, since 1 + 2 + 5 + 128 + 8 + 510 + 0 + 6 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1251288510061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15376401 + ... + 15457563.

It is an arithmetic number, because the mean of its divisors is an integer number (33325289088).

Almost surely, 2^{1251288510066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251288510066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599613876224).

1251288510066 is an abundant number, since it is smaller than the sum of its proper divisors (1947939242382).

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

1251288510066 is a wasteful number, since it uses less digits than its factorization.

1251288510066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85156 (or 85153 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 1251288510066 in words is "one trillion, two hundred fifty-one billion, two hundred eighty-eight million, five hundred ten thousand, sixty-six".