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2563612325 = 521729208001
BaseRepresentation
bin1001100011001101…
…1001111010100101
320121122212222222122
42120303121322211
520222241043300
61102215035325
7120346226261
oct23063317245
96548788878
102563612325
1110a610197a
125b666bb45
1331b172691
141a468d0a1
151000e3c85
hex98cd9ea5

2563612325 has 24 divisors (see below), whose sum is σ = 3481953480. Its totient is φ = 1863680000.

The previous prime is 2563612309. The next prime is 2563612327. The reversal of 2563612325 is 5232163652.

It can be written as a sum of positive squares in 12 ways, for example, as 63712324 + 2499900001 = 7982^2 + 49999^2 .

It is not a de Polignac number, because 2563612325 - 24 = 2563612309 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563612327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91676 + ... + 116325.

It is an arithmetic number, because the mean of its divisors is an integer number (145081395).

Almost surely, 22563612325 is an apocalyptic number.

2563612325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2563612325 is a deficient number, since it is larger than the sum of its proper divisors (918341155).

2563612325 is a wasteful number, since it uses less digits than its factorization.

2563612325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208057 (or 208052 counting only the distinct ones).

The product of its digits is 64800, while the sum is 35.

The square root of 2563612325 is about 50632.1273995079. The cubic root of 2563612325 is about 1368.6238912747.

Adding to 2563612325 its reverse (5232163652), we get a palindrome (7795775977).

The spelling of 2563612325 in words is "two billion, five hundred sixty-three million, six hundred twelve thousand, three hundred twenty-five".

Divisors: 1 5 17 25 29 85 145 425 493 725 2465 12325 208001 1040005 3536017 5200025 6032029 17680085 30160145 88400425 102544493 150800725 512722465 2563612325