211451365125 has 384 divisors, whose sum is σ = 517041487872. Its totient is φ = 80284608000.

The previous prime is 211451365093. The next prime is 211451365127. The reversal of 211451365125 is 521563154112.

211451365125 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 5 + 136 + 512 + 5 = 666.

It is not a de Polignac number, because 211451365125 - 2⁵ = 211451365093 is a prime.

It is a super-3 number, since 3×211451365125³ (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 211451365125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211451365127) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 115989964 + ... + 115991786.

It is an arithmetic number, because the mean of its divisors is an integer number (1346462208).

Almost surely, 2^211451365125 is an apocalyptic number.

211451365125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211451365125 is an abundant number, since it is smaller than the sum of its proper divisors (305590122747).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211451365125 is a wasteful number, since it uses less digits than its factorization.

211451365125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1965 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The spelling of 211451365125 in words is "two hundred eleven billion, four hundred fifty-one million, three hundred sixty-five thousand, one hundred twenty-five".