72981501068257 has 2 divisors, whose sum is σ = 72981501068258. Its totient is φ = 72981501068256.

The previous prime is 72981501068221. The next prime is 72981501068291. The reversal of 72981501068257 is 75286010518927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71772818509456 + 1208682558801 = 8471884^2 + 1099401^2 .

It is a cyclic number.

It is not a de Polignac number, because 72981501068257 - 2¹¹ = 72981501066209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72981501068195 and 72981501068204.

It is not a weakly prime, because it can be changed into another prime (72981501068207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36490750534128 + 36490750534129.

It is an arithmetic number, because the mean of its divisors is an integer number (36490750534129).

Almost surely, 2^{72981501068257} is an apocalyptic number.

It is an amenable number.

72981501068257 is a deficient number, since it is larger than the sum of its proper divisors (1).

72981501068257 is an equidigital number, since it uses as much as digits as its factorization.

72981501068257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16934400, while the sum is 61.

The spelling of 72981501068257 in words is "seventy-two trillion, nine hundred eighty-one billion, five hundred one million, sixty-eight thousand, two hundred fifty-seven".