1001232031257 has 6 divisors (see below), whose sum is σ = 1446224045162. Its totient is φ = 667488020832.

The previous prime is 1001232031231. The next prime is 1001232031271. The reversal of 1001232031257 is 7521302321001.

1001232031257 is a `hidden beast` number, since 10 + 0 + 12 + 320 + 312 + 5 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 952070499081 + 49161532176 = 975741^2 + 221724^2 .

It is not a de Polignac number, because 1001232031257 - 2¹² = 1001232027161 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001232031257.

It is not an unprimeable number, because it can be changed into a prime (1001232031207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55624001728 + ... + 55624001745.

Almost surely, 2^{1001232031257} is an apocalyptic number.

It is an amenable number.

1001232031257 is a deficient number, since it is larger than the sum of its proper divisors (444992013905).

1001232031257 is a wasteful number, since it uses less digits than its factorization.

1001232031257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111248003479 (or 111248003476 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 1001232031257 its reverse (7521302321001), we get a palindrome (8522534352258).

The spelling of 1001232031257 in words is "one trillion, one billion, two hundred thirty-two million, thirty-one thousand, two hundred fifty-seven".