211265555364125 has 64 divisors (see below), whose sum is σ = 277988323092480. Its totient is φ = 159980664729600.

The previous prime is 211265555364119. The next prime is 211265555364131. The reversal of 211265555364125 is 521463555562112.

It is an interprime number because it is at equal distance from previous prime (211265555364119) and next prime (211265555364131).

It is not a de Polignac number, because 211265555364125 - 2¹⁴ = 211265555347741 is a prime.

It is a super-2 number, since 2×211265555364125² (a number of 29 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 63 ways as a sum of consecutive naturals, for example, 3091852961 + ... + 3091921289.

It is an arithmetic number, because the mean of its divisors is an integer number (4343567548320).

Almost surely, 2^{211265555364125} is an apocalyptic number.

211265555364125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211265555364125 is a deficient number, since it is larger than the sum of its proper divisors (66722767728355).

211265555364125 is a wasteful number, since it uses less digits than its factorization.

211265555364125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79551 (or 79541 counting only the distinct ones).

The product of its digits is 10800000, while the sum is 53.

The spelling of 211265555364125 in words is "two hundred eleven trillion, two hundred sixty-five billion, five hundred fifty-five million, three hundred sixty-four thousand, one hundred twenty-five".