2711472689025 has 81 divisors (see below), whose sum is σ = 4895658476163. Its totient is φ = 1434565836000.

The previous prime is 2711472689017. The next prime is 2711472689053. The reversal of 2711472689025 is 5209862741172.

The square root of 2711472689025 is 1646655.

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

2711472689025 is a `hidden beast` number, since 2 + 7 + 1 + 1 + 472 + 68 + 90 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 976130168049 + 1735342520976 = 987993^2 + 1317324^2 .

It is not a de Polignac number, because 2711472689025 - 2³ = 2711472689017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3729673212 + ... + 3729673938.

Almost surely, 2^{2711472689025} is an apocalyptic number.

2711472689025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2711472689025 is the 1646655-th square number.

2711472689025 is the 823328-th centered octagonal number.

It is an amenable number.

2711472689025 is a deficient number, since it is larger than the sum of its proper divisors (2184185787138).

2711472689025 is an frugal number, since it uses more digits than its factorization.

2711472689025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 2711472689025 in words is "two trillion, seven hundred eleven billion, four hundred seventy-two million, six hundred eighty-nine thousand, twenty-five".