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1251533137 is a prime number
BaseRepresentation
bin100101010011000…
…1110000101010001
310020012222110201011
41022212032011101
510030343030022
6324104410521
743004566441
oct11246160521
93205873634
101251533137
11592504408
122ab176a41
1316c39866a
14bc306121
1574d19977
hex4a98e151

1251533137 has 2 divisors, whose sum is σ = 1251533138. Its totient is φ = 1251533136.

The previous prime is 1251533123. The next prime is 1251533141. The reversal of 1251533137 is 7313351521.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 806787216 + 444745921 = 28404^2 + 21089^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1251533137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1251533099 and 1251533108.

It is not a weakly prime, because it can be changed into another prime (1251533167) 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, 625766568 + 625766569.

It is an arithmetic number, because the mean of its divisors is an integer number (625766569).

Almost surely, 21251533137 is an apocalyptic number.

It is an amenable number.

1251533137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1251533137 is an equidigital number, since it uses as much as digits as its factorization.

1251533137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9450, while the sum is 31.

The square root of 1251533137 is about 35377.0142465415. The cubic root of 1251533137 is about 1077.6575708895.

Adding to 1251533137 its reverse (7313351521), we get a palindrome (8564884658).

The spelling of 1251533137 in words is "one billion, two hundred fifty-one million, five hundred thirty-three thousand, one hundred thirty-seven".