2654960654025 has 45 divisors (see below), whose sum is σ = 4918040719141. Its totient is φ = 1415939909760.

The previous prime is 2654960653981. The next prime is 2654960654029. The reversal of 2654960654025 is 5204560694562.

The square root of 2654960654025 is 1629405.

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

2654960654025 is a `hidden beast` number, since 2 + 6 + 5 + 4 + 9 + 606 + 5 + 4 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 611215930809 + 2043744723216 = 781803^2 + 1429596^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2654960654025 - 2¹¹ = 2654960651977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2654960654029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 73305121 + ... + 73341329.

Almost surely, 2^{2654960654025} is an apocalyptic number.

2654960654025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2654960654025 is the 1629405-th square number.

2654960654025 is the 814703-rd centered octagonal number.

It is an amenable number.

2654960654025 is a deficient number, since it is larger than the sum of its proper divisors (2263080065116).

2654960654025 is an frugal number, since it uses more digits than its factorization.

2654960654025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72440 (or 36217 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 2654960654025 in words is "two trillion, six hundred fifty-four billion, nine hundred sixty million, six hundred fifty-four thousand, twenty-five".