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63673025 = 52131071831
BaseRepresentation
bin1111001011100…
…1001011000001
311102210220222012
43302321023001
5112300014100
610152422305
71402132433
oct362711301
9142726865
1063673025
1132a3a539
12193a7995
1310264a60
148656653
1558cb135
hex3cb92c1

63673025 has 24 divisors (see below), whose sum is σ = 85869504. Its totient is φ = 46555200.

The previous prime is 63673021. The next prime is 63673033. The reversal of 63673025 is 52037636.

63673025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 63673025 - 22 = 63673021 is a prime.

It is a super-2 number, since 2×636730252 = 8108508225301250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 63672982 and 63673000.

It is not an unprimeable number, because it can be changed into a prime (63673021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33860 + ... + 35690.

It is an arithmetic number, because the mean of its divisors is an integer number (3577896).

Almost surely, 263673025 is an apocalyptic number.

63673025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

63673025 is a deficient number, since it is larger than the sum of its proper divisors (22196479).

63673025 is a wasteful number, since it uses less digits than its factorization.

63673025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The square root of 63673025 is about 7979.5378938883. The cubic root of 63673025 is about 399.3176387029.

The spelling of 63673025 in words is "sixty-three million, six hundred seventy-three thousand, twenty-five".

Divisors: 1 5 13 25 65 107 325 535 1391 1831 2675 6955 9155 23803 34775 45775 119015 195917 595075 979585 2546921 4897925 12734605 63673025