38825653458961 has 2 divisors, whose sum is σ = 38825653458962. Its totient is φ = 38825653458960.

The previous prime is 38825653458923. The next prime is 38825653458979. The reversal of 38825653458961 is 16985435652883.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21354047649936 + 17471605809025 = 4621044^2 + 4179905^2 .

It is a cyclic number.

It is not a de Polignac number, because 38825653458961 - 2⁷ = 38825653458833 is a prime.

It is a super-2 number, since 2×38825653458961² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (38825653455961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19412826729480 + 19412826729481.

It is an arithmetic number, because the mean of its divisors is an integer number (19412826729481).

Almost surely, 2^{38825653458961} is an apocalyptic number.

It is an amenable number.

38825653458961 is a deficient number, since it is larger than the sum of its proper divisors (1).

38825653458961 is an equidigital number, since it uses as much as digits as its factorization.

38825653458961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1492992000, while the sum is 73.

The spelling of 38825653458961 in words is "thirty-eight trillion, eight hundred twenty-five billion, six hundred fifty-three million, four hundred fifty-eight thousand, nine hundred sixty-one".