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1072153057 is a prime number
BaseRepresentation
bin111111111001111…
…100000111100001
32202201110000111111
4333321330013201
54143432344212
6254215543321
735366102443
oct7771740741
92681400444
101072153057
11500225508
1225b08ab41
131411809c1
14a2570493
15641d4ea7
hex3fe7c1e1

1072153057 has 2 divisors, whose sum is σ = 1072153058. Its totient is φ = 1072153056.

The previous prime is 1072152979. The next prime is 1072153079. The reversal of 1072153057 is 7503512701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 672313041 + 399840016 = 25929^2 + 19996^2 .

It is a cyclic number.

It is not a de Polignac number, because 1072153057 - 27 = 1072152929 is a prime.

It is a super-2 number, since 2×10721530572 = 2299024355268890498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1072123057) 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 as a sum of consecutive naturals, namely, 536076528 + 536076529.

It is an arithmetic number, because the mean of its divisors is an integer number (536076529).

Almost surely, 21072153057 is an apocalyptic number.

It is an amenable number.

1072153057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1072153057 is an equidigital number, since it uses as much as digits as its factorization.

1072153057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 1072153057 is about 32743.7483651460. The cubic root of 1072153057 is about 1023.4946952650.

Adding to 1072153057 its reverse (7503512701), we get a palindrome (8575665758).

The spelling of 1072153057 in words is "one billion, seventy-two million, one hundred fifty-three thousand, fifty-seven".