101725978657 has 2 divisors, whose sum is σ = 101725978658. Its totient is φ = 101725978656.

The previous prime is 101725978621. The next prime is 101725978787. The reversal of 101725978657 is 756879527101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92309022976 + 9416955681 = 303824^2 + 97041^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101725978657 is a prime.

It is not a weakly prime, because it can be changed into another prime (101725978457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50862989328 + 50862989329.

It is an arithmetic number, because the mean of its divisors is an integer number (50862989329).

Almost surely, 2^101725978657 is an apocalyptic number.

It is an amenable number.

101725978657 is a deficient number, since it is larger than the sum of its proper divisors (1).

101725978657 is an equidigital number, since it uses as much as digits as its factorization.

101725978657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7408800, while the sum is 58.

The spelling of 101725978657 in words is "one hundred one billion, seven hundred twenty-five million, nine hundred seventy-eight thousand, six hundred fifty-seven".