211772545525 has 24 divisors (see below), whose sum is σ = 265125530880. Its totient is φ = 167794685760.

The previous prime is 211772545519. The next prime is 211772545597. The reversal of 211772545525 is 525545277112.

211772545525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211772545525 - 2⁹ = 211772545013 is a prime.

It is a super-2 number, since 2×211772545525² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 1064916 + ... + 1248034.

It is an arithmetic number, because the mean of its divisors is an integer number (11046897120).

Almost surely, 2^211772545525 is an apocalyptic number.

211772545525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211772545525 is a deficient number, since it is larger than the sum of its proper divisors (53352985355).

211772545525 is a wasteful number, since it uses less digits than its factorization.

211772545525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183573 (or 183568 counting only the distinct ones).

The product of its digits is 980000, while the sum is 46.

The spelling of 211772545525 in words is "two hundred eleven billion, seven hundred seventy-two million, five hundred forty-five thousand, five hundred twenty-five".