8007252332153 has 2 divisors, whose sum is σ = 8007252332154. Its totient is φ = 8007252332152.

The previous prime is 8007252332099. The next prime is 8007252332201. The reversal of 8007252332153 is 3512332527008.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7860105673744 + 147146658409 = 2803588^2 + 383597^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8007252332153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8007252332153.

It is not a weakly prime, because it can be changed into another prime (8007252232153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4003626166076 + 4003626166077.

It is an arithmetic number, because the mean of its divisors is an integer number (4003626166077).

Almost surely, 2^{8007252332153} is an apocalyptic number.

It is an amenable number.

8007252332153 is a deficient number, since it is larger than the sum of its proper divisors (1).

8007252332153 is an equidigital number, since it uses as much as digits as its factorization.

8007252332153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 8007252332153 in words is "eight trillion, seven billion, two hundred fifty-two million, three hundred thirty-two thousand, one hundred fifty-three".