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2540664025 = 521725932
BaseRepresentation
bin1001011101101111…
…0111010011011001
320120001201002211121
42113123313103121
520200402222100
61100035125241
7116650200514
oct22733672331
96501632747
102540664025
111094158539
125aaa43821
133164992c3
141a15d7d7b
15ed0ae51a
hex976f74d9

2540664025 has 27 divisors (see below), whose sum is σ = 3352296631. Its totient is φ = 1909744640.

The previous prime is 2540664017. The next prime is 2540664037. The reversal of 2540664025 is 5204660452.

The square root of 2540664025 is 50405.

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

It can be written as a sum of positive squares in 13 ways, for example, as 618367689 + 1922296336 = 24867^2 + 43844^2 .

It is not a de Polignac number, because 2540664025 - 23 = 2540664017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4284129 + ... + 4284721.

Almost surely, 22540664025 is an apocalyptic number.

2540664025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2540664025 is the 50405-th square number.

2540664025 is the 25203-rd centered octagonal number.

It is an amenable number.

2540664025 is a deficient number, since it is larger than the sum of its proper divisors (811632606).

2540664025 is an frugal number, since it uses more digits than its factorization.

2540664025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The cubic root of 2540664025 is about 1364.5278772612.

Multiplying 2540664025 by its product of nonzero digits (57600), we get a square (146342247840000 = 120972002).

The spelling of 2540664025 in words is "two billion, five hundred forty million, six hundred sixty-four thousand, twenty-five".

Divisors: 1 5 17 25 85 289 425 593 1445 2965 7225 10081 14825 50405 171377 252025 351649 856885 1758245 4284425 5978033 8791225 29890165 101626561 149450825 508132805 2540664025