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2540589513 = 371113780279
BaseRepresentation
bin1001011101101110…
…0101000111001001
320120001120022121220
42113123211013021
520200342331023
61100033352253
7116646440340
oct22733450711
96501508556
102540589513
111094107560
125aaa08689
13316471407
141a15b8b57
15ed0973e3
hex976e51c9

2540589513 has 32 divisors (see below), whose sum is σ = 4254197760. Its totient is φ = 1310136960.

The previous prime is 2540589487. The next prime is 2540589517. The reversal of 2540589513 is 3159850452.

It is not a de Polignac number, because 2540589513 - 26 = 2540589449 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2540589517) 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 31 ways as a sum of consecutive naturals, for example, 8493 + ... + 71786.

It is an arithmetic number, because the mean of its divisors is an integer number (132943680).

Almost surely, 22540589513 is an apocalyptic number.

It is an amenable number.

2540589513 is a deficient number, since it is larger than the sum of its proper divisors (1713608247).

2540589513 is a wasteful number, since it uses less digits than its factorization.

2540589513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80437.

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 2540589513 is about 50404.2608615581. The cubic root of 2540589513 is about 1364.5145376127.

The spelling of 2540589513 in words is "two billion, five hundred forty million, five hundred eighty-nine thousand, five hundred thirteen".

Divisors: 1 3 7 11 21 33 77 137 231 411 959 1507 2877 4521 10549 31647 80279 240837 561953 883069 1685859 2649207 6181483 10998223 18544449 32994669 76987561 120980453 230962683 362941359 846863171 2540589513