1001142757 has 2 divisors, whose sum is σ = 1001142758. Its totient is φ = 1001142756.

The previous prime is 1001142721. The next prime is 1001142773. The reversal of 1001142757 is 7572411001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 808321761 + 192820996 = 28431^2 + 13886^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001142757 - 2²⁷ = 866925029 is a prime.

It is a super-2 number, since 2×1001142757² = 2004573639787122098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001142557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500571378 + 500571379.

It is an arithmetic number, because the mean of its divisors is an integer number (500571379).

Almost surely, 2^1001142757 is an apocalyptic number.

It is an amenable number.

1001142757 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001142757 is an equidigital number, since it uses as much as digits as its factorization.

1001142757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 1001142757 is about 31640.8400172941. The cubic root of 1001142757 is about 1000.3807739928.

Adding to 1001142757 its reverse (7572411001), we get a palindrome (8573553758).

The spelling of 1001142757 in words is "one billion, one million, one hundred forty-two thousand, seven hundred fifty-seven".