401405310523537 has 2 divisors, whose sum is σ = 401405310523538. Its totient is φ = 401405310523536.

The previous prime is 401405310523379. The next prime is 401405310523541. The reversal of 401405310523537 is 735325013504104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 377001404242576 + 24403906280961 = 19416524^2 + 4940031^2 .

It is a cyclic number.

It is not a de Polignac number, because 401405310523537 - 2⁴⁷ = 260667822168209 is a prime.

It is a super-2 number, since 2×401405310523537² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401405310523493 and 401405310523502.

It is not a weakly prime, because it can be changed into another prime (401405310523577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200702655261768 + 200702655261769.

It is an arithmetic number, because the mean of its divisors is an integer number (200702655261769).

Almost surely, 2^{401405310523537} is an apocalyptic number.

It is an amenable number.

401405310523537 is a deficient number, since it is larger than the sum of its proper divisors (1).

401405310523537 is an equidigital number, since it uses as much as digits as its factorization.

401405310523537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756000, while the sum is 43.

The spelling of 401405310523537 in words is "four hundred one trillion, four hundred five billion, three hundred ten million, five hundred twenty-three thousand, five hundred thirty-seven".