153402461006461 has 2 divisors, whose sum is σ = 153402461006462. Its totient is φ = 153402461006460.

The previous prime is 153402461006447. The next prime is 153402461006513. The reversal of 153402461006461 is 164600164204351.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109929458325625 + 43473002680836 = 10484725^2 + 6593406^2 .

It is a cyclic number.

It is not a de Polignac number, because 153402461006461 - 2⁵ = 153402461006429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153402461306461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76701230503230 + 76701230503231.

It is an arithmetic number, because the mean of its divisors is an integer number (76701230503231).

Almost surely, 2^{153402461006461} is an apocalyptic number.

It is an amenable number.

153402461006461 is a deficient number, since it is larger than the sum of its proper divisors (1).

153402461006461 is an equidigital number, since it uses as much as digits as its factorization.

153402461006461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 153402461006461 in words is "one hundred fifty-three trillion, four hundred two billion, four hundred sixty-one million, six thousand, four hundred sixty-one".