2553005103007 has 2 divisors, whose sum is σ = 2553005103008. Its totient is φ = 2553005103006.

The previous prime is 2553005102953. The next prime is 2553005103023. The reversal of 2553005103007 is 7003015003552.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2553005103007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2553005103007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2553005103097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276502551503 + 1276502551504.

It is an arithmetic number, because the mean of its divisors is an integer number (1276502551504).

Almost surely, 2^{2553005103007} is an apocalyptic number.

2553005103007 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553005103007 is an equidigital number, since it uses as much as digits as its factorization.

2553005103007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15750, while the sum is 31.

The spelling of 2553005103007 in words is "two trillion, five hundred fifty-three billion, five million, one hundred three thousand, seven".