1006137653 has 2 divisors, whose sum is σ = 1006137654. Its totient is φ = 1006137652.

The previous prime is 1006137557. The next prime is 1006137667. The reversal of 1006137653 is 3567316001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 881971204 + 124166449 = 29698^2 + 11143^2 .

It is an emirp because it is prime and its reverse (3567316001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006137653 - 2¹⁰ = 1006136629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006131653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503068826 + 503068827.

It is an arithmetic number, because the mean of its divisors is an integer number (503068827).

Almost surely, 2^1006137653 is an apocalyptic number.

It is an amenable number.

1006137653 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006137653 is an equidigital number, since it uses as much as digits as its factorization.

1006137653 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 1006137653 is about 31719.6729648967. The cubic root of 1006137653 is about 1002.0417129047.

The spelling of 1006137653 in words is "one billion, six million, one hundred thirty-seven thousand, six hundred fifty-three".