112001577953 has 2 divisors, whose sum is σ = 112001577954. Its totient is φ = 112001577952.

The previous prime is 112001577931. The next prime is 112001577973. The reversal of 112001577953 is 359775100211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63780492304 + 48221085649 = 252548^2 + 219593^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112001577953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112001577953.

It is not a weakly prime, because it can be changed into another prime (112001577973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56000788976 + 56000788977.

It is an arithmetic number, because the mean of its divisors is an integer number (56000788977).

Almost surely, 2^112001577953 is an apocalyptic number.

It is an amenable number.

112001577953 is a deficient number, since it is larger than the sum of its proper divisors (1).

112001577953 is an equidigital number, since it uses as much as digits as its factorization.

112001577953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 66150, while the sum is 41.

The spelling of 112001577953 in words is "one hundred twelve billion, one million, five hundred seventy-seven thousand, nine hundred fifty-three".