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2561767425 = 335274631171
BaseRepresentation
bin1001100010110001…
…0111100000000001
320121112102021021000
42120230113200001
520221303024200
61102111322213
7120324443460
oct23054274001
96545367230
102561767425
1110a5061868
125b5b20369
1331a977a19
141a432c9d7
15eed7c300
hex98b17801

2561767425 has 96 divisors (see below), whose sum is σ = 5394575360. Its totient is φ = 1167566400.

The previous prime is 2561767423. The next prime is 2561767447. The reversal of 2561767425 is 5247671652.

2561767425 is a `hidden beast` number, since 2 + 5 + 617 + 6 + 7 + 4 + 25 = 666.

It is not a de Polignac number, because 2561767425 - 21 = 2561767423 is a prime.

It is a super-2 number, since 2×25617674252 = 13125304679582261250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2561767423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2187090 + ... + 2188260.

Almost surely, 22561767425 is an apocalyptic number.

2561767425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2561767425 is an abundant number, since it is smaller than the sum of its proper divisors (2832807935).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2561767425 is a wasteful number, since it uses less digits than its factorization.

2561767425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1649 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 2561767425 is about 50613.9054509727. The cubic root of 2561767425 is about 1368.2955030687.

The spelling of 2561767425 in words is "two billion, five hundred sixty-one million, seven hundred sixty-seven thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 463 525 675 945 1171 1389 1575 2315 3241 3513 4167 4725 5855 6945 8197 9723 10539 11575 12501 16205 17565 20835 24591 29169 29275 31617 34725 40985 48615 52695 62505 73773 81025 87507 87825 104175 122955 145845 158085 204925 221319 243075 263475 312525 368865 437535 542173 614775 729225 790425 1106595 1626519 1844325 2187675 2710865 3795211 4879557 5532975 8132595 11385633 13554325 14638671 18976055 24397785 34156899 40662975 56928165 73193355 94880275 102470697 121988925 170784495 284640825 365966775 512353485 853922475 2561767425