2687288097025 has 45 divisors (see below), whose sum is σ = 3887959877763. Its totient is φ = 1842436436400.

The previous prime is 2687288097023. The next prime is 2687288097029. The reversal of 2687288097025 is 5207908827862.

The square root of 2687288097025 is 1639295.

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

It can be written as a sum of positive squares in only one way, i.e., 967423714929 + 1719864382096 = 983577^2 + 1311436^2 .

It is not a de Polignac number, because 2687288097025 - 2¹ = 2687288097023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2687288097023) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 401623930 + ... + 401630620.

Almost surely, 2^{2687288097025} is an apocalyptic number.

2687288097025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2687288097025 is the 1639295-th square number.

2687288097025 is the 819648-th centered octagonal number.

It is an amenable number.

2687288097025 is a deficient number, since it is larger than the sum of its proper divisors (1200671780738).

2687288097025 is an frugal number, since it uses more digits than its factorization.

2687288097025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13420 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 64.

Multiplying 2687288097025 by its sum of digits (64), we get a square (171986438209600 = 13114360²).

The spelling of 2687288097025 in words is "two trillion, six hundred eighty-seven billion, two hundred eighty-eight million, ninety-seven thousand, twenty-five".