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1253381761 is a prime number
BaseRepresentation
bin100101010110101…
…0001011010000001
310020100110101112201
41022231101122001
510031331204021
6324212153201
743026366142
oct11255213201
93210411481
101253381761
115935572a5
122ab908801
1316c894c18
14bc667ac9
1575082591
hex4ab51681

1253381761 has 2 divisors, whose sum is σ = 1253381762. Its totient is φ = 1253381760.

The previous prime is 1253381707. The next prime is 1253381783. The reversal of 1253381761 is 1671833521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1172651536 + 80730225 = 34244^2 + 8985^2 .

It is a cyclic number.

It is not a de Polignac number, because 1253381761 - 29 = 1253381249 is a prime.

It is a super-2 number, since 2×12533817612 = 3141931677614922242, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1253381761.

It is not a weakly prime, because it can be changed into another prime (1253382761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 626690880 + 626690881.

It is an arithmetic number, because the mean of its divisors is an integer number (626690881).

Almost surely, 21253381761 is an apocalyptic number.

It is an amenable number.

1253381761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1253381761 is an equidigital number, since it uses as much as digits as its factorization.

1253381761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 37.

The square root of 1253381761 is about 35403.1320789560. The cubic root of 1253381761 is about 1078.1879080464.

The spelling of 1253381761 in words is "one billion, two hundred fifty-three million, three hundred eighty-one thousand, seven hundred sixty-one".