2587417017025 has 9 divisors (see below), whose sum is σ = 3208407074121. Its totient is φ = 2069927179440.

The previous prime is 2587417016999. The next prime is 2587417017041. The reversal of 2587417017025 is 5207107147852.

The square root of 2587417017025 is 1608545.

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

It can be written as a sum of positive squares in 4 ways, for example, as 30181070529 + 2557235946496 = 173727^2 + 1599136^2 .

It is not a de Polignac number, because 2587417017025 - 2¹⁷ = 2587416885953 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2587417017025.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7881871 + ... + 8203579.

Almost surely, 2^{2587417017025} is an apocalyptic number.

2587417017025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2587417017025 is the 1608545-th square number.

2587417017025 is the 804273-rd centered octagonal number.

It is an amenable number.

2587417017025 is a deficient number, since it is larger than the sum of its proper divisors (620990057096).

2587417017025 is an frugal number, since it uses more digits than its factorization.

2587417017025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643428 (or 321714 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 49.

Multiplying 2587417017025 by its sum of digits (49), we get a square (126783433834225 = 11259815²).

The spelling of 2587417017025 in words is "two trillion, five hundred eighty-seven billion, four hundred seventeen million, seventeen thousand, twenty-five".