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2525416425 = 325272955291
BaseRepresentation
bin1001011010000110…
…1100101111101001
320112000000110001200
42112201230233221
520133001311200
61054332234413
7116403454050
oct22641545751
96460013050
102525416425
111086593814
125a590ba09
1331328b05c
1419d589397
15eba9b800
hex9686cbe9

2525416425 has 72 divisors (see below), whose sum is σ = 5347842240. Its totient is φ = 1114646400.

The previous prime is 2525416417. The next prime is 2525416427. The reversal of 2525416425 is 5246145252.

2525416425 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 4 + 1 + 642 + 5 = 666.

It is not a de Polignac number, because 2525416425 - 23 = 2525416417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2525416425.

It is not an unprimeable number, because it can be changed into a prime (2525416427) 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 71 ways as a sum of consecutive naturals, for example, 18030 + ... + 73320.

Almost surely, 22525416425 is an apocalyptic number.

2525416425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2525416425 is an abundant number, since it is smaller than the sum of its proper divisors (2822425815).

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

2525416425 is a wasteful number, since it uses less digits than its factorization.

2525416425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55343 (or 55335 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 2525416425 is about 50253.5215183971. The cubic root of 2525416425 is about 1361.7926951979.

The spelling of 2525416425 in words is "two billion, five hundred twenty-five million, four hundred sixteen thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 29 35 45 63 75 87 105 145 175 203 225 261 315 435 525 609 725 1015 1305 1575 1827 2175 3045 5075 6525 9135 15225 45675 55291 165873 276455 387037 497619 829365 1161111 1382275 1603439 1935185 2488095 3483333 4146825 4810317 5805555 8017195 9675925 11224073 12440475 14430951 17416665 24051585 29027775 33672219 40085975 56120365 72154755 87083325 101016657 120257925 168361095 280601825 360773775 505083285 841805475 2525416425