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1013164157 is a prime number
BaseRepresentation
bin111100011000111…
…010100001111101
32121121110001221102
4330120322201331
54033332223112
6244311342445
734051516235
oct7430724175
92547401842
101013164157
1147a9a5255
12243381a25
13131b99025
14987b6cc5
155de31bc2
hex3c63a87d

1013164157 has 2 divisors, whose sum is σ = 1013164158. Its totient is φ = 1013164156.

The previous prime is 1013164129. The next prime is 1013164253. The reversal of 1013164157 is 7514613101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1004319481 + 8844676 = 31691^2 + 2974^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013164157 - 26 = 1013164093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013164057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506582078 + 506582079.

It is an arithmetic number, because the mean of its divisors is an integer number (506582079).

Almost surely, 21013164157 is an apocalyptic number.

It is an amenable number.

1013164157 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013164157 is an equidigital number, since it uses as much as digits as its factorization.

1013164157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 1013164157 is about 31830.2396629369. The cubic root of 1013164157 is about 1004.3689369259.

Adding to 1013164157 its reverse (7514613101), we get a palindrome (8527777258).

The spelling of 1013164157 in words is "one billion, thirteen million, one hundred sixty-four thousand, one hundred fifty-seven".