5235261167201 has 24 divisors (see below), whose sum is σ = 5810710845240. Its totient is φ = 4711846464000.

The previous prime is 5235261167141. The next prime is 5235261167237. The reversal of 5235261167201 is 1027611625325.

It can be written as a sum of positive squares in 12 ways, for example, as 3270035688976 + 1965225478225 = 1808324^2 + 1401865^2 .

It is not a de Polignac number, because 5235261167201 - 2²⁶ = 5235194058337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5235261167281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11338151 + ... + 11790851.

It is an arithmetic number, because the mean of its divisors is an integer number (242112951885).

Almost surely, 2^{5235261167201} is an apocalyptic number.

It is an amenable number.

5235261167201 is a deficient number, since it is larger than the sum of its proper divisors (575449678039).

5235261167201 is a wasteful number, since it uses less digits than its factorization.

5235261167201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454437 (or 454424 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 5235261167201 in words is "five trillion, two hundred thirty-five billion, two hundred sixty-one million, one hundred sixty-seven thousand, two hundred one".