1007252137 has 2 divisors, whose sum is σ = 1007252138. Its totient is φ = 1007252136.

The previous prime is 1007252131. The next prime is 1007252173. The reversal of 1007252137 is 7312527001.

Together with next prime (1007252173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 979752601 + 27499536 = 31301^2 + 5244^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007252137 - 2¹¹ = 1007250089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1007252131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503626068 + 503626069.

It is an arithmetic number, because the mean of its divisors is an integer number (503626069).

Almost surely, 2^1007252137 is an apocalyptic number.

It is an amenable number.

1007252137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007252137 is an equidigital number, since it uses as much as digits as its factorization.

1007252137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 1007252137 is about 31737.2358122128. The cubic root of 1007252137 is about 1002.4115587097.

Adding to 1007252137 its reverse (7312527001), we get a palindrome (8319779138).

The spelling of 1007252137 in words is "one billion, seven million, two hundred fifty-two thousand, one hundred thirty-seven".