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640526625 = 3253292677
BaseRepresentation
bin100110001011011…
…010100100100001
31122122021010100100
4212023122210201
52302433323000
6143320413013
721605246364
oct4613324441
91578233310
10640526625
112a9619152
1215a617169
13a291804b
14610d60db
153b375a00
hex262da921

640526625 has 72 divisors (see below), whose sum is σ = 1197611064. Its totient is φ = 329347200.

The previous prime is 640526617. The next prime is 640526693. The reversal of 640526625 is 526625046.

640526625 is a `hidden beast` number, since 6 + 4 + 0 + 5 + 26 + 625 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 216001809 + 424524816 = 14697^2 + 20604^2 .

It is not a de Polignac number, because 640526625 - 23 = 640526617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 640526625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 945787 + ... + 946463.

It is an arithmetic number, because the mean of its divisors is an integer number (16633487).

Almost surely, 2640526625 is an apocalyptic number.

It is an amenable number.

640526625 is a deficient number, since it is larger than the sum of its proper divisors (557084439).

640526625 is a wasteful number, since it uses less digits than its factorization.

640526625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 640526625 is about 25308.6274815526. The cubic root of 640526625 is about 862.0101818699.

The spelling of 640526625 in words is "six hundred forty million, five hundred twenty-six thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 125 145 225 261 375 435 677 725 841 1125 1305 2031 2175 2523 3385 3625 4205 6093 6525 7569 10155 10875 12615 16925 19633 21025 30465 32625 37845 50775 58899 63075 84625 98165 105125 152325 176697 189225 253875 294495 315375 490825 569357 761625 883485 946125 1472475 1708071 2454125 2846785 4417425 5124213 7362375 8540355 14233925 22087125 25621065 42701775 71169625 128105325 213508875 640526625