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2542135300425 = 34527179339351
BaseRepresentation
bin100100111111100011000…
…100100101000101001001
3100000000200210001121020000
4210333203010211011021
5313122243114103200
65223501341553213
7351443324345040
oct44774304450511
910000623047200
102542135300425
118a0128116116
12350823b75809
13155950c61c76
148b07bab9557
15461d7cd4300
hex24fe3125149

2542135300425 has 60 divisors (see below), whose sum is σ = 5381615274816. Its totient is φ = 1162118988000.

The previous prime is 2542135300379. The next prime is 2542135300429. The reversal of 2542135300425 is 5240035312452.

It is not a de Polignac number, because 2542135300425 - 215 = 2542135267657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2542135300425.

It is not an unprimeable number, because it can be changed into a prime (2542135300429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 89655501 + ... + 89683850.

Almost surely, 22542135300425 is an apocalyptic number.

2542135300425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2542135300425 is an abundant number, since it is smaller than the sum of its proper divisors (2839479974391).

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

2542135300425 is a wasteful number, since it uses less digits than its factorization.

2542135300425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179339380 (or 179339366 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 2542135300425 in words is "two trillion, five hundred forty-two billion, one hundred thirty-five million, three hundred thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 315 405 525 567 675 945 1575 2025 2835 4725 14175 179339351 538018053 896696755 1255375457 1614054159 2690090265 3766126371 4483483775 4842162477 6276877285 8070270795 11298379113 13450451325 14526487431 18830631855 24210812385 31384386425 33895137339 40351353975 56491895565 72632437155 94153159275 101685412017 121054061925 169475686695 282459477825 363162185775 508427060085 847378433475 2542135300425