1005125351211 has 24 divisors (see below), whose sum is σ = 1459614574080. Its totient is φ = 666508273200.

The previous prime is 1005125351189. The next prime is 1005125351273. The reversal of 1005125351211 is 1121535215001.

It is a happy number.

1005125351211 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 1 + 2 + 535 + 121 + 1 = 666.

1005125351211 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 1005125351211 - 2⁵ = 1005125351179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005125351291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 892530 + ... + 1675368.

It is an arithmetic number, because the mean of its divisors is an integer number (60817273920).

Almost surely, 2^{1005125351211} is an apocalyptic number.

1005125351211 is a deficient number, since it is larger than the sum of its proper divisors (454489222869).

1005125351211 is a wasteful number, since it uses less digits than its factorization.

1005125351211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783607 (or 783604 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 1005125351211 in words is "one trillion, five billion, one hundred twenty-five million, three hundred fifty-one thousand, two hundred eleven".