47574153225 has 135 divisors (see below), whose sum is σ = 91266522501. Its totient is φ = 24498676800.

The previous prime is 47574153203. The next prime is 47574153259. The reversal of 47574153225 is 52235147574.

The square root of 47574153225 is 218115.

It is a perfect power (a square), and thus also a powerful number.

47574153225 is a `hidden beast` number, since 4 + 7 + 5 + 7 + 415 + 3 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4516243209 + 43057910016 = 67203^2 + 207504^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2^k-47574153225 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 363161410 + ... + 363161540.

Almost surely, 2^47574153225 is an apocalyptic number.

47574153225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

47574153225 is the 218115-th square number.

47574153225 is the 109058-th centered octagonal number.

It is an amenable number.

47574153225 is a deficient number, since it is larger than the sum of its proper divisors (43692369276).

47574153225 is an equidigital number, since it uses as much as digits as its factorization.

47574153225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 176 counting only the distinct ones).

The product of its digits is 1176000, while the sum is 45.

The spelling of 47574153225 in words is "forty-seven billion, five hundred seventy-four million, one hundred fifty-three thousand, two hundred twenty-five".