47211217032825 has 72 divisors (see below), whose sum is σ = 86904618045336. Its totient is φ = 24482245248000.

The previous prime is 47211217032817. The next prime is 47211217032839. The reversal of 47211217032825 is 52823071211274.

47211217032825 is a `hidden beast` number, since 4 + 7 + 211 + 21 + 70 + 328 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1382609112336 + 45828607920489 = 1175844^2 + 6769683^2 .

It is not a de Polignac number, because 47211217032825 - 2³ = 47211217032817 is a prime.

It is a super-3 number, since 3×47211217032825³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10414735 + ... + 14243915.

It is an arithmetic number, because the mean of its divisors is an integer number (1207008583963).

Almost surely, 2^{47211217032825} is an apocalyptic number.

47211217032825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47211217032825 is a deficient number, since it is larger than the sum of its proper divisors (39693401012511).

47211217032825 is a wasteful number, since it uses less digits than its factorization.

47211217032825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830715 (or 3830707 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 47211217032825 in words is "forty-seven trillion, two hundred eleven billion, two hundred seventeen million, thirty-two thousand, eight hundred twenty-five".