1001329657 has 2 divisors, whose sum is σ = 1001329658. Its totient is φ = 1001329656.

The previous prime is 1001329649. The next prime is 1001329663. The reversal of 1001329657 is 7569231001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 954871801 + 46457856 = 30901^2 + 6816^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001329657 - 2³ = 1001329649 is a prime.

It is a super-2 number, since 2×1001329657² = 2005322163975475298, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001329687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500664828 + 500664829.

It is an arithmetic number, because the mean of its divisors is an integer number (500664829).

Almost surely, 2^1001329657 is an apocalyptic number.

It is an amenable number.

1001329657 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001329657 is an equidigital number, since it uses as much as digits as its factorization.

1001329657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 1001329657 is about 31643.7933408749. The cubic root of 1001329657 is about 1000.4430227019.

The spelling of 1001329657 in words is "one billion, one million, three hundred twenty-nine thousand, six hundred fifty-seven".