1066253626251 has 48 divisors (see below), whose sum is σ = 1699665327360. Its totient is φ = 638754480960.

The previous prime is 1066253626241. The next prime is 1066253626279. The reversal of 1066253626251 is 1526263526601.

1066253626251 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 2 + 536 + 2 + 62 + 51 = 666.

1066253626251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1066253626251 - 2¹⁷ = 1066253495179 is a prime.

It is a super-2 number, since 2×1066253626251² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1066253626197 and 1066253626206.

It is not an unprimeable number, because it can be changed into a prime (1066253626241) 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, 2779261 + ... + 3139553.

It is an arithmetic number, because the mean of its divisors is an integer number (35409694320).

Almost surely, 2^{1066253626251} is an apocalyptic number.

1066253626251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1066253626251 is a deficient number, since it is larger than the sum of its proper divisors (633411701109).

1066253626251 is a wasteful number, since it uses less digits than its factorization.

1066253626251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360656 (or 360653 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1066253626251 in words is "one trillion, sixty-six billion, two hundred fifty-three million, six hundred twenty-six thousand, two hundred fifty-one".