401121154152053 has 2 divisors, whose sum is σ = 401121154152054. Its totient is φ = 401121154152052.

The previous prime is 401121154152049. The next prime is 401121154152073. The reversal of 401121154152053 is 350251451121104.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 321336564294769 + 79784589857284 = 17925863^2 + 8932222^2 .

It is a cyclic number.

It is not a de Polignac number, because 401121154152053 - 2² = 401121154152049 is a prime.

It is a super-2 number, since 2×401121154152053² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401121154152073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200560577076026 + 200560577076027.

It is an arithmetic number, because the mean of its divisors is an integer number (200560577076027).

Almost surely, 2^{401121154152053} is an apocalyptic number.

It is an amenable number.

401121154152053 is a deficient number, since it is larger than the sum of its proper divisors (1).

401121154152053 is an equidigital number, since it uses as much as digits as its factorization.

401121154152053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24000, while the sum is 35.

The spelling of 401121154152053 in words is "four hundred one trillion, one hundred twenty-one billion, one hundred fifty-four million, one hundred fifty-two thousand, fifty-three".