1252761137 has 2 divisors, whose sum is σ = 1252761138. Its totient is φ = 1252761136.

The previous prime is 1252761091. The next prime is 1252761151. The reversal of 1252761137 is 7311672521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1185011776 + 67749361 = 34424^2 + 8231^2 .

It is a cyclic number.

It is not a de Polignac number, because 1252761137 - 2¹² = 1252757041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1252761097 and 1252761106.

It is not a weakly prime, because it can be changed into another prime (1252761197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 626380568 + 626380569.

It is an arithmetic number, because the mean of its divisors is an integer number (626380569).

Almost surely, 2^1252761137 is an apocalyptic number.

It is an amenable number.

1252761137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1252761137 is an equidigital number, since it uses as much as digits as its factorization.

1252761137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17640, while the sum is 35.

The square root of 1252761137 is about 35394.3658934582. The cubic root of 1252761137 is about 1078.0099203046.

The spelling of 1252761137 in words is "one billion, two hundred fifty-two million, seven hundred sixty-one thousand, one hundred thirty-seven".