401253121 has 2 divisors, whose sum is σ = 401253122. Its totient is φ = 401253120.

The previous prime is 401253007. The next prime is 401253137. The reversal of 401253121 is 121352104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 336208896 + 65044225 = 18336^2 + 8065^2 .

It is a cyclic number.

It is not a de Polignac number, because 401253121 - 2²⁵ = 367698689 is a prime.

It is a super-2 number, since 2×401253121² = 322008134224481282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401251121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200626560 + 200626561.

It is an arithmetic number, because the mean of its divisors is an integer number (200626561).

Almost surely, 2^401253121 is an apocalyptic number.

It is an amenable number.

401253121 is a deficient number, since it is larger than the sum of its proper divisors (1).

401253121 is an equidigital number, since it uses as much as digits as its factorization.

401253121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 401253121 is about 20031.3035272296. The cubic root of 401253121 is about 737.5749205129.

The spelling of 401253121 in words is "four hundred one million, two hundred fifty-three thousand, one hundred twenty-one".