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25460989225 = 5272472972
BaseRepresentation
bin10111101101100101…
…111101110100101001
32102201102100021010221
4113231211331310221
5404121003123400
615410245210041
71560642560200
oct275545756451
972642307127
1025460989225
11a886079061
124b26a00921
132529bb00c9
1413376a6237
159e03d1c1a
hex5ed97dd29

25460989225 has 81 divisors (see below), whose sum is σ = 37915047333. Its totient is φ = 16911336960.

The previous prime is 25460989207. The next prime is 25460989231. The reversal of 25460989225 is 52298906452.

The square root of 25460989225 is 159565.

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 936176409 + 24524812816 = 30597^2 + 156604^2 .

It is not a de Polignac number, because 25460989225 - 213 = 25460981033 is a prime.

It is a super-2 number, since 2×254609892252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 262484377 + ... + 262484473.

Almost surely, 225460989225 is an apocalyptic number.

25460989225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25460989225 is the 159565-th square number.

25460989225 is the 79783-rd centered octagonal number.

It is an amenable number.

25460989225 is a deficient number, since it is larger than the sum of its proper divisors (12454058108).

25460989225 is an frugal number, since it uses more digits than its factorization.

25460989225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 25460989225 in words is "twenty-five billion, four hundred sixty million, nine hundred eighty-nine thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 47 49 97 175 235 245 329 485 679 1175 1225 1645 2209 2303 2425 3395 4559 4753 8225 9409 11045 11515 15463 16975 22795 23765 31913 47045 55225 57575 65863 77315 108241 113975 118825 159565 214273 223391 235225 329315 386575 442223 461041 541205 797825 1071365 1116955 1499911 1646575 2211115 2305205 2706025 3095561 5356825 5584775 7499555 10499377 11055575 11526025 15477805 20784481 21668927 37497775 52496885 77389025 103922405 108344635 145491367 262484425 519612025 541723175 727456835 1018439569 3637284175 5092197845 25460989225