85132011343401 has 45 divisors (see below), whose sum is σ = 139786160468493. Its totient is φ = 51594604787880.

The previous prime is 85132011343399. The next prime is 85132011343417. The reversal of 85132011343401 is 10434311023158.

The square root of 85132011343401 is 9226701.

It is a perfect power (a square), and thus also a powerful number.

85132011343401 is a `hidden beast` number, since 8 + 5 + 1 + 3 + 201 + 1 + 3 + 43 + 401 = 666.

It is not a de Polignac number, because 85132011343401 - 2¹ = 85132011343399 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85132011343451) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 913396800 + ... + 913489998.

Almost surely, 2^{85132011343401} is an apocalyptic number.

85132011343401 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

85132011343401 is the 9226701-st square number.

85132011343401 is the 4613351-st centered octagonal number.

It is an amenable number.

85132011343401 is a deficient number, since it is larger than the sum of its proper divisors (54654149125092).

85132011343401 is an frugal number, since it uses more digits than its factorization.

85132011343401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186432 (or 93213 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 85132011343401 its reverse (10434311023158), we get a palindrome (95566322366559).

The spelling of 85132011343401 in words is "eighty-five trillion, one hundred thirty-two billion, eleven million, three hundred forty-three thousand, four hundred one".