152461601651201 has 2 divisors, whose sum is σ = 152461601651202. Its totient is φ = 152461601651200.

The previous prime is 152461601651179. The next prime is 152461601651213. The reversal of 152461601651201 is 102156106164251.

152461601651201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83098538905600 + 69363062745601 = 9115840^2 + 8328449^2 .

It is a cyclic number.

It is not a de Polignac number, because 152461601651201 - 2³⁸ = 152186723744257 is a prime.

It is not a weakly prime, because it can be changed into another prime (152461601651251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76230800825600 + 76230800825601.

It is an arithmetic number, because the mean of its divisors is an integer number (76230800825601).

Almost surely, 2^{152461601651201} is an apocalyptic number.

It is an amenable number.

152461601651201 is a deficient number, since it is larger than the sum of its proper divisors (1).

152461601651201 is an equidigital number, since it uses as much as digits as its factorization.

152461601651201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 86400, while the sum is 41.

The spelling of 152461601651201 in words is "one hundred fifty-two trillion, four hundred sixty-one billion, six hundred one million, six hundred fifty-one thousand, two hundred one".