85892627251201 has 2 divisors, whose sum is σ = 85892627251202. Its totient is φ = 85892627251200.

The previous prime is 85892627251163. The next prime is 85892627251213. The reversal of 85892627251201 is 10215272629858.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85843023052801 + 49604198400 = 9265151^2 + 222720^2 .

It is a cyclic number.

It is not a de Polignac number, because 85892627251201 - 2¹⁷ = 85892627120129 is a prime.

It is a super-2 number, since 2×85892627251201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85892627251241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42946313625600 + 42946313625601.

It is an arithmetic number, because the mean of its divisors is an integer number (42946313625601).

Almost surely, 2^{85892627251201} is an apocalyptic number.

It is an amenable number.

85892627251201 is a deficient number, since it is larger than the sum of its proper divisors (1).

85892627251201 is an equidigital number, since it uses as much as digits as its factorization.

85892627251201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9676800, while the sum is 58.

The spelling of 85892627251201 in words is "eighty-five trillion, eight hundred ninety-two billion, six hundred twenty-seven million, two hundred fifty-one thousand, two hundred one".