211511315225 has 24 divisors (see below), whose sum is σ = 300457227840. Its totient is φ = 144690131520.

The previous prime is 211511315201. The next prime is 211511315233. The reversal of 211511315225 is 522513115112.

211511315225 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 211511315225 - 2¹⁴ = 211511298841 is a prime.

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, 1368962 + ... + 1515611.

It is an arithmetic number, because the mean of its divisors is an integer number (12519051160).

Almost surely, 2^211511315225 is an apocalyptic number.

211511315225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211511315225 is a deficient number, since it is larger than the sum of its proper divisors (88945912615).

211511315225 is a wasteful number, since it uses less digits than its factorization.

211511315225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885009 (or 2885004 counting only the distinct ones).

The product of its digits is 3000, while the sum is 29.

The spelling of 211511315225 in words is "two hundred eleven billion, five hundred eleven million, three hundred fifteen thousand, two hundred twenty-five".