1251145677006 has 112 divisors (see below), whose sum is σ = 2963250662400. Its totient is φ = 394916457744.

The previous prime is 1251145676947. The next prime is 1251145677011. The reversal of 1251145677006 is 6007765411521.

1251145677006 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 14 + 567 + 70 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 68110035 + ... + 68128401.

It is an arithmetic number, because the mean of its divisors is an integer number (26457595200).

Almost surely, 2^{1251145677006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251145677006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481625331200).

1251145677006 is an abundant number, since it is smaller than the sum of its proper divisors (1712104985394).

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

1251145677006 is a wasteful number, since it uses less digits than its factorization.

1251145677006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20865 (or 20850 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 1251145677006 in words is "one trillion, two hundred fifty-one billion, one hundred forty-five million, six hundred seventy-seven thousand, six".