147256413917201 has 2 divisors, whose sum is σ = 147256413917202. Its totient is φ = 147256413917200.

The previous prime is 147256413917167. The next prime is 147256413917209. The reversal of 147256413917201 is 102719314652741.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 145673409586576 + 1583004330625 = 12069524^2 + 1258175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-147256413917201 is a prime.

It is a super-2 number, since 2×147256413917201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (147256413917209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73628206958600 + 73628206958601.

It is an arithmetic number, because the mean of its divisors is an integer number (73628206958601).

Almost surely, 2^{147256413917201} is an apocalyptic number.

It is an amenable number.

147256413917201 is a deficient number, since it is larger than the sum of its proper divisors (1).

147256413917201 is an equidigital number, since it uses as much as digits as its factorization.

147256413917201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 147256413917201 in words is "one hundred forty-seven trillion, two hundred fifty-six billion, four hundred thirteen million, nine hundred seventeen thousand, two hundred one".