38628280515953 has 2 divisors, whose sum is σ = 38628280515954. Its totient is φ = 38628280515952.

The previous prime is 38628280515919. The next prime is 38628280515959. The reversal of 38628280515953 is 35951508282683.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22725356820544 + 15902923695409 = 4767112^2 + 3987847^2 .

It is a cyclic number.

It is not a de Polignac number, because 38628280515953 - 2⁶ = 38628280515889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38628280515953.

It is not a weakly prime, because it can be changed into another prime (38628280515959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19314140257976 + 19314140257977.

It is an arithmetic number, because the mean of its divisors is an integer number (19314140257977).

Almost surely, 2^{38628280515953} is an apocalyptic number.

It is an amenable number.

38628280515953 is a deficient number, since it is larger than the sum of its proper divisors (1).

38628280515953 is an equidigital number, since it uses as much as digits as its factorization.

38628280515953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 124416000, while the sum is 65.

The spelling of 38628280515953 in words is "thirty-eight trillion, six hundred twenty-eight billion, two hundred eighty million, five hundred fifteen thousand, nine hundred fifty-three".