401137242353137 has 2 divisors, whose sum is σ = 401137242353138. Its totient is φ = 401137242353136.

The previous prime is 401137242353131. The next prime is 401137242353147. The reversal of 401137242353137 is 731353242731104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 261468123840576 + 139669118512561 = 16169976^2 + 11818169^2 .

It is a cyclic number.

It is not a de Polignac number, because 401137242353137 - 2³ = 401137242353129 is a prime.

It is a super-2 number, since 2×401137242353137² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401137242353131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200568621176568 + 200568621176569.

It is an arithmetic number, because the mean of its divisors is an integer number (200568621176569).

Almost surely, 2^{401137242353137} is an apocalyptic number.

It is an amenable number.

401137242353137 is a deficient number, since it is larger than the sum of its proper divisors (1).

401137242353137 is an equidigital number, since it uses as much as digits as its factorization.

401137242353137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 401137242353137 in words is "four hundred one trillion, one hundred thirty-seven billion, two hundred forty-two million, three hundred fifty-three thousand, one hundred thirty-seven".