47897511025 has 135 divisors (see below), whose sum is σ = 76924555029. Its totient is φ = 29498152320.

The previous prime is 47897511007. The next prime is 47897511029. The reversal of 47897511025 is 52011579874.

The square root of 47897511025 is 218855.

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

It can be written as a sum of positive squares in 22 ways, for example, as 38150293041 + 9747217984 = 195321^2 + 98728^2 .

It is not a de Polignac number, because 47897511025 - 2¹⁷ = 47897379953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 47897511025.

It is not an unprimeable number, because it can be changed into a prime (47897511029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1294527307 + ... + 1294527343.

Almost surely, 2^47897511025 is an apocalyptic number.

47897511025 is the 218855-th square number.

47897511025 is the 109428-th centered octagonal number.

It is an amenable number.

47897511025 is a deficient number, since it is larger than the sum of its proper divisors (29027044004).

47897511025 is an frugal number, since it uses more digits than its factorization.

47897511025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 49.

Multiplying 47897511025 by its sum of digits (49), we get a square (2346978040225 = 1531985²).

47897511025 divided by its sum of digits (49) gives a square (977500225 = 31265²).

It can be divided in two parts, 478975 and 11025, that added together give a square (490000 = 700²).

The spelling of 47897511025 in words is "forty-seven billion, eight hundred ninety-seven million, five hundred eleven thousand, twenty-five".