8001257001 has 8 divisors (see below), whose sum is σ = 10679047104. Its totient is φ = 5328819120.

The previous prime is 8001256937. The next prime is 8001257003. The reversal of 8001257001 is 1007521008.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8001257001 - 2⁶ = 8001256937 is a prime.

It is a super-2 number, since 2×8001257001² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8001257003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1334565 + ... + 1340546.

It is an arithmetic number, because the mean of its divisors is an integer number (1334880888).

Almost surely, 2^8001257001 is an apocalyptic number.

It is an amenable number.

8001257001 is a deficient number, since it is larger than the sum of its proper divisors (2677790103).

8001257001 is a wasteful number, since it uses less digits than its factorization.

8001257001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676111.

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 8001257001 is about 89449.7456731991. The cubic root of 8001257001 is about 2000.1047445975.

Adding to 8001257001 its reverse (1007521008), we get a palindrome (9008778009).

The spelling of 8001257001 in words is "eight billion, one million, two hundred fifty-seven thousand, one".