1005037137953 has 2 divisors, whose sum is σ = 1005037137954. Its totient is φ = 1005037137952.

The previous prime is 1005037137859. The next prime is 1005037137983. The reversal of 1005037137953 is 3597317305001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 919847873569 + 85189264384 = 959087^2 + 291872^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005037137953 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005037137983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502518568976 + 502518568977.

It is an arithmetic number, because the mean of its divisors is an integer number (502518568977).

Almost surely, 2^{1005037137953} is an apocalyptic number.

It is an amenable number.

1005037137953 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005037137953 is an equidigital number, since it uses as much as digits as its factorization.

1005037137953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 297675, while the sum is 44.

The spelling of 1005037137953 in words is "one trillion, five billion, thirty-seven million, one hundred thirty-seven thousand, nine hundred fifty-three".